Channels

Multiple Choice

Write the log expression as a single log.

$\log_2\frac{1}{9x}+2\log_23x$

192

views

Multiple Choice

Write the log expression as a single log.

$\ln\frac{3x}{y}+2\ln2y-\ln4x$

164

views

Multiple Choice

Write the single logarithm as a sum or difference of logs.

$\log_3\left(\frac{\sqrt{x}}{9y^2}\right)$

184

views

Multiple Choice

Write the single logarithm as a sum or difference of logs.

$\log_5\left(\frac{5\left(2x+3\right)^2}{x^3}\right)$

181

views

Multiple Choice

Evaluate the given logarithm using the change of base formula and a calculator. Use the common log.

$\log_317$

158

views

Multiple Choice

Evaluate the given logarithm using the change of base formula and a calculator. Use the common log.

$\log_967$

198

views

Multiple Choice

Evaluate the given logarithm using the change of base formula and a calculator. Use the natural log.

$\log_841$

149

views

Multiple Choice

Evaluate the given logarithm using the change of base formula and a calculator. Use the natural log.

$\log_23789$

161

views

Textbook Question

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log5 (7 × 3)

327

views

Textbook Question

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log7 (7x)

306

views

Textbook Question

In Exercises 1–8, write each equation in its equivalent exponential form. 5= logb 32

213

views

Textbook Question

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log(1000x)

277

views

Textbook Question

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log(1000x)

277

views

Textbook Question

Answer each of the following. Write log_3 12 in terms of natural logarithms using the change-of-base theorem.

200

views

Textbook Question

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log7 (7/x)

312

views

Textbook Question

Answer each of the following. Between what two consecutive integers must log_2 12 lie?

318

views

Textbook Question

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log(x/100)

411

views

Textbook Question

Find each value. If applicable, give an approximation to four decimal places. See Example 1. log 10^12

194

views

Textbook Question

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log4 (64/y)

283

views

Textbook Question

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log4 (64/y)

283

views

Textbook Question

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. ln(e^2/5)

385

views

Textbook Question

Find each value. If applicable, give an approximation to four decimal places. See Example 1. log 0.1

149

views

Textbook Question

In Exercises 13–15, write each equation in its equivalent exponential form. log3 81 = y

254

views

Textbook Question

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. logb x^3

262

views

Textbook Question

Find each value. If applicable, give an approximation to four decimal places. See Example 1. . log 63

175

views

Textbook Question

If the statement is in exponential form, write it in an equivalent logarithmic form. If the statement is in logarithmic form, write it in exponential form. log￬√3 81 = 8

260

views

Textbook Question

Find each value. If applicable, give an approximation to four decimal places. See Example 1. log 0.0022

175

views

Textbook Question

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log N^(-6)

275

views

Textbook Question

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log N^(-6)

275

views

Textbook Question

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. ln 5√x (fifth root of)

275

views

Textbook Question

Find each value. If applicable, give an approximation to four decimal places. See Example 1. log(387 * 23)

185

views

Textbook Question

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. logb (x^2 y)

267

views

Textbook Question

Find each value. If applicable, give an approximation to four decimal places. See Example 1. log 518/342

183

views

Textbook Question

Find each value. If applicable, give an approximation to four decimal places. See Example 1. log 387 + log 23

161

views

Textbook Question

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log4 (√x/64)

225

views

Textbook Question

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log4 (√x/64)

225

views

Textbook Question

In Exercises 21–42, evaluate each expression without using a calculator. log3 27

232

views

Textbook Question

Solve each equation. x = 3^log3 8

187

views

Textbook Question

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log6 (36/(√(x+1))

282

views

Textbook Question

Find each value. If applicable, give an approximation to four decimal places. See Example 1. log 518 - log 342

176

views

Textbook Question

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. logb ((x^2 y)/z^2)

479

views

Textbook Question

For each substance, find the pH from the given hydronium ion concentration to the nearest tenth. See Example 2(a). grapefruit, 6.3*10^-4

242

views

Textbook Question

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log √(100x)

602

views

Textbook Question

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log √(100x)

602

views

Textbook Question

For each substance, find the pH from the given hydronium ion concentration to the nearest tenth. See Example 2(a). limes, 1.6*10^-2

203

views

Textbook Question

Use a calculator to find an approximation to four decimal places for each logarithm. ln 144,000

227

views

Textbook Question

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log ∛(x/y)

249

views

Textbook Question

For each substance, find the pH from the given hydronium ion concentration to the nearest tenth. See Example 2(a). crackers, 3.9*10^-9

190

views

Textbook Question

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. logb ((√x y^3)/z^3)

235

views

Textbook Question

Find the [H_3O^+] for each substance with the given pH. Write answers in scientific notation to the nearest tenth. See Example 2(b). soda pop, 2.7

173

views

Textbook Question

Use a calculator to find an approximation to four decimal places for each logarithm. log₂/₃ 5/8

211

views

Textbook Question

In Exercises 21–42, evaluate each expression without using a calculator. log5 5

240

views

Textbook Question

Solve each equation. log￬9 x = 5/2

205

views

Textbook Question

Find the [H_3O^+] for each substance with the given pH. Write answers in scientific notation to the nearest tenth. See Example 2(b). beer, 4.8

170

views

Textbook Question

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log5 ∛((x^2 y)/24)

301

views

Textbook Question

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log5 ∛((x^2 y)/24)

301

views

Textbook Question

In Exercises 36–38, begin by graphing f(x) = log2 x Then use transformations of this graph to graph the given function. What is the graph's x-intercept? What is the vertical asymptote? Use the graphs to determine each function's domain and range. g(x) = log2 (x-2)

268

views

Textbook Question

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. ln[(x^3(√(x^2 + 1))/(x + 1)^4]

286

views

Textbook Question

Suppose that water from a wetland area is sampled and found to have the given hydronium ion concentration. Determine whether the wetland is a rich fen, a poor fen, or a bog. See Example 3. 2.49*10^-5

180

views

Textbook Question

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log [(10x^2∛(1 - x))/(7(x + 1)^2)]

236

views

Textbook Question

Suppose that water from a wetland area is sampled and found to have the given hydronium ion concentration. Determine whether the wetland is a rich fen, a poor fen, or a bog. See Example 3. 2.49*10^-2

203

views

Textbook Question

Suppose that water from a wetland area is sampled and found to have the given hydronium ion concentration. Determine whether the wetland is a rich fen, a poor fen, or a bog. See Example 3. 2.49*10^-7

197

views

Textbook Question

In Exercises 41–70, use properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions without using a calculator. log 5 + log 2

325

views

Textbook Question

In Exercises 41–70, use properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions without using a calculator. log 5 + log 2

325

views

Textbook Question

Solve each problem. Use a calculator to find an approximation for each logarithm. log 398.4

174

views

Textbook Question

In Exercises 41–70, use properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions without using a calculator. ln x + ln 7

220

views

Textbook Question

Solve each problem. Use a calculator to find an approximation for each logarithm. log 3.984

187

views

Textbook Question

In Exercises 41–70, use properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions without using a calculator. log2 (96) - log2 (3)

343

views

Textbook Question

Find each value. If applicable, give an approximation to four decimal places. See Example 5. ln e^1.6

162

views

Textbook Question

Find each value. If applicable, give an approximation to four decimal places. See Example 5. ln 1/e^2

189

views

Textbook Question

In Exercises 41–70, use properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions without using a calculator. log x + 3 log y

216

views

Textbook Question

In Exercises 41–70, use properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions without using a calculator. log x + 3 log y

216

views

Textbook Question

Find each value. If applicable, give an approximation to four decimal places. See Example 5. ln √e

193

views

Textbook Question

In Exercises 50–53, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log4 (√x/64)

491

views

Textbook Question

In Exercises 41–70, use properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions without using a calculator. (1/2)ln x + ln y

184

views

Textbook Question

Find each value. If applicable, give an approximation to four decimal places. See Example 5. ln 28

181

views

Textbook Question

In Exercises 41–70, use properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions without using a calculator. 2 logb x + 3 logb y

293

views

Textbook Question

Find each value. If applicable, give an approximation to four decimal places. See Example 5. ln 0.00013

153

views

Textbook Question

In Exercises 50–53, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. ln ∛(x/e)

376

views

Textbook Question

In Exercises 50–53, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. ln ∛(x/e)

376

views

Textbook Question

Graph each function. ƒ(x) = log￬3 (x-1) + 2

173

views

Textbook Question

In Exercises 54–57, use properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. log 3 - 3 log x

417

views

Textbook Question

In Exercises 41–70, use properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions without using a calculator. 5 ln x - 2 ln y

314

views

Textbook Question

In Exercises 41–70, use properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions without using a calculator. 5 ln x - 2 ln y

314

views

Textbook Question

Find each value. If applicable, give an approximation to four decimal places. See Example 5. ln (27 * 943)

155

views

Textbook Question

In Exercises 54–57, use properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. 1/2 ln x - ln y

689

views

Textbook Question

In Exercises 41–70, use properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions without using a calculator. 3 ln x - (1/3) ln y

260

views

Textbook Question

Find each value. If applicable, give an approximation to four decimal places. See Example 5. ln 98/13

184

views

Textbook Question

In Exercises 41–70, use properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions without using a calculator. 4 ln (x + 6) - 3 ln x

304

views

Textbook Question

Find each value. If applicable, give an approximation to four decimal places. See Example 5. ln 27 + ln 943

194

views

Textbook Question

In Exercises 58–59, use common logarithms or natural logarithms and a calculator to evaluate to four decimal places. log4 0.863

365

views

Textbook Question

In Exercises 58–59, use common logarithms or natural logarithms and a calculator to evaluate to four decimal places. log4 0.863

365

views

Textbook Question

In Exercises 41–70, use properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions without using a calculator. 3 ln x + 5 ln y - 6 ln z

350

views

Textbook Question

In Exercises 41–70, use properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions without using a calculator. 3 ln x + 5 ln y - 6 ln z

350

views

Textbook Question

Find each value. If applicable, give an approximation to four decimal places. See Example 5. ln 98 - ln 13

157

views

Textbook Question

Find each value. If applicable, give an approximation to four decimal places. See Example 5. ln 84 - ln 17

186

views

Textbook Question

In Exercises 41–70, use properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions without using a calculator. (1/2)(log x + log y)

207

views

Textbook Question

Graph each function. Give the domain and range. ƒ(x) = | log￬1/2 (x-2) |

220

views

Textbook Question

In Exercises 41–70, use properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions without using a calculator. (1/2)(log5 x + log5 y) - 2 log5 (x + 1)

300

views

Textbook Question

The figure shows the graph of f(x) = ln x. In Exercises 65–74, use transformations of this graph to graph each function. Graph and give equations of the asymptotes. Use the graphs to determine each function's domain and range.

In Exercises 41–70, use properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions without using a calculator. (1/3) [2 ln(x + 5) - ln x - ln (x^2 - 4)]

272

views

Textbook Question

In Exercises 41–70, use properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions without using a calculator. (1/3) [2 ln(x + 5) - ln x - ln (x^2 - 4)]

272

views

Textbook Question

In Exercises 41–70, use properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions without using a calculator. log x + log(x^2 - 1) - log 7 - log(x + 1)

286

views

Textbook Question

In Exercises 71–78, use common logarithms or natural logarithms and a calculator to evaluate to four decimal places. log5 13

886

views

Textbook Question

In Exercises 71–78, use common logarithms or natural logarithms and a calculator to evaluate to four decimal places. log14 87.5

200

views

Textbook Question

In Exercises 71–78, use common logarithms or natural logarithms and a calculator to evaluate to four decimal places. log14 87.5

200

views

Textbook Question

In Exercises 71–78, use common logarithms or natural logarithms and a calculator to evaluate to four decimal places. log0.1 17

229

views

Textbook Question

In Exercises 71–78, use common logarithms or natural logarithms and a calculator to evaluate to four decimal places. logπ 63

205

views

Textbook Question

Use the change-of-base theorem to find an approximation to four decimal places for each logarithm. See Example 8. log_2 5

150

views

Textbook Question

In Exercises 79–82, use a graphing utility and the change-of-base property to graph each function. y = log3 x

166

views

Textbook Question

In Exercises 79–82, use a graphing utility and the change-of-base property to graph each function. y = log2 (x + 2)

160

views

Textbook Question

Use the change-of-base theorem to find an approximation to four decimal places for each logarithm. See Example 8. log_8 0.59

173

views

Textbook Question

Expand: log8((4√x)/(64y3))

211

views

Textbook Question

Expand: log8((4√x)/(64y3))

211

views

Textbook Question

In Exercises 81–100, evaluate or simplify each expression without using a calculator. log 10^7

214

views

Textbook Question

Use the change-of-base theorem to find an approximation to four decimal places for each logarithm. See Example 8. . log_1/2 3

194

views

Textbook Question

In Exercises 83–88, let logb 2 = A and logb 3 = C and Write each expression in terms of A and C. logb (3/2)

236

views

Textbook Question

Use the change-of-base theorem to find an approximation to four decimal places for each logarithm. See Example 8. log_π e

155

views

Textbook Question

In Exercises 83–88, let logb 2 = A and logb 3 = C and Write each expression in terms of A and C. logb 8

280

views

Textbook Question

In Exercises 83–88, let logb 2 = A and logb 3 = C and Write each expression in terms of A and C. logb √(2/27)

215

views

Textbook Question

Solve: log₂ (x+9) — log₂ x = 1.

215

views

Textbook Question

Solve: log₂ (x+9) — log₂ x = 1.

215

views

Textbook Question

Use the change-of-base theorem to find an approximation to four decimal places for each logarithm. See Example 8. log_√13 12

172

views

Textbook Question

Use the change-of-base theorem to find an approximation to four decimal places for each logarithm. See Example 8. log_√19 5

218

views

Textbook Question

Let u = ln a and v = ln b. Write each expression in terms of u and v without using the ln function. ln (b^4√a)

209

views

Textbook Question

In Exercises 89–102, determine whether each equation is true or false. Where possible, show work to support your conclusion. If the statement is false, make the necessary change(s) to produce a true statement. log4 (2x^3) = 3 log4 (2x)

192

views

Textbook Question

In Exercises 89–102, determine whether each equation is true or false. Where possible, show work to support your conclusion. If the statement is false, make the necessary change(s) to produce a true statement. log4 (2x^3) = 3 log4 (2x)

192

views

Textbook Question

In Exercises 89–102, determine whether each equation is true or false. Where possible, show work to support your conclusion. If the statement is false, make the necessary change(s) to produce a true statement. ln(8x^3) = 3 ln (2x)

199

views

Textbook Question

Given that log￬10 2 ≈ 0.3010 and log￬10 3 ≈ 0.4771, find each logarithm without using a calculator. log￬10 6

179

views

Textbook Question

In Exercises 81–100, evaluate or simplify each expression without using a calculator. e^ln 125

236

views

Textbook Question

In Exercises 89–102, determine whether each equation is true or false. Where possible, show work to support your conclusion. If the statement is false, make the necessary change(s) to produce a true statement. x log 10^x = x^2

232

views

Textbook Question

Let u = ln a and v = ln b. Write each expression in terms of u and v without using the ln function. ln √(a^3/b^5)

194

views

Textbook Question

In Exercises 89–102, determine whether each equation is true or false. Where possible, show work to support your conclusion. If the statement is false, make the necessary change(s) to produce a true statement. ln(x + 1) = ln x + ln 1

211

views

Textbook Question

In Exercises 89–102, determine whether each equation is true or false. Where possible, show work to support your conclusion. If the statement is false, make the necessary change(s) to produce a true statement. ln(x + 1) = ln x + ln 1

211

views

Textbook Question

Use the various properties of exponential and logarithmic functions to evaluate the expressions in parts (a)–(c). Given g(x) = e^x, find g(ln 1/e)

263

views

Textbook Question

In Exercises 89–102, determine whether each equation is true or false. Where possible, show work to support your conclusion. If the statement is false, make the necessary change(s) to produce a true statement. ln(5x) + ln 1 = ln(5x)

199

views

Textbook Question

Use the various properties of exponential and logarithmic functions to evaluate the expressions in parts (a)–(c). Given g(x) = e^x, find g(ln ln 5^2)

182

views

Textbook Question

Use the various properties of exponential and logarithmic functions to evaluate the expressions in parts (a)–(c). Given g(x) = e^x, find g(ln 4)

233

views

Textbook Question

In Exercises 89–102, determine whether each equation is true or false. Where possible, show work to support your conclusion. If the statement is false, make the necessary change(s) to produce a true statement. ln x + ln(2x) = ln(3x)

196

views

Textbook Question

Use the various properties of exponential and logarithmic functions to evaluate the expressions in parts (a)–(c). Given ƒ(x) = 3^x, find ƒ(log_3 (2 ln 3))

203

views

Textbook Question

Use the various properties of exponential and logarithmic functions to evaluate the expressions in parts (a)–(c). Given ƒ(x) = 3^x, find ƒ(log_3 (ln 3))

193

views

Textbook Question

Use the various properties of exponential and logarithmic functions to evaluate the expressions in parts (a)–(c). Given ƒ(x) = 3^x, find ƒ(log_3 2)

217

views

Textbook Question

Retaining the Concepts. Expand: log7 (5√x/49y^10) fifth root of x

221

views

Textbook Question

In Exercises 89–102, determine whether each equation is true or false. Where possible, show work to support your conclusion. If the statement is false, make the necessary change(s) to produce a true statement. log(x + 3) - log(2x) = [log(x + 3)/log(2x)]

237

views

Textbook Question

In Exercises 89–102, determine whether each equation is true or false. Where possible, show work to support your conclusion. If the statement is false, make the necessary change(s) to produce a true statement. log(x + 3) - log(2x) = [log(x + 3)/log(2x)]

237

views

Textbook Question

Use the various properties of exponential and logarithmic functions to evaluate the expressions in parts (a)–(c). Given ƒ(x) = log_2 x, find ƒ(2^(2 log_2 2))

175

views

Textbook Question

In Exercises 89–102, determine whether each equation is true or false. Where possible, show work to support your conclusion. If the statement is false, make the necessary change(s) to produce a true statement. [log(x + 2)/log(x - 1)] = log(x + 2) - log(x - 1)

202

views

Textbook Question

Use the various properties of exponential and logarithmic functions to evaluate the expressions in parts (a)–(c). Given ƒ(x) = log_2 x, find ƒ(2^(log_2 2))

188

views

Textbook Question

Use the various properties of exponential and logarithmic functions to evaluate the expressions in parts (a)–(c). Given ƒ(x) = log_2 x, find ƒ(2^7)

182

views

Textbook Question

In Exercises 89–102, determine whether each equation is true or false. Where possible, show work to support your conclusion. If the statement is false, make the necessary change(s) to produce a true statement. log6 [(x - 1)/(x^2 + 4)] = log6 (x - 1) - log6 (x^2 + 4)

252

views

Textbook Question

Work each problem. Which of the following is equivalent to 2 ln(3x) for x > 0? A. ln 9 + ln x B. ln 6x C. ln 6 + ln x D. ln 9x^2

191

views

Textbook Question

Work each problem. Which of the following is equivalent to ln(4x) - ln(2x) for x > 0? A. 2 ln x B. ln 2x C. (ln 4x)/(ln 2x) D. ln 2

183

views

Textbook Question

In Exercises 89–102, determine whether each equation is true or false. Where possible, show work to support your conclusion. If the statement is false, make the necessary change(s) to produce a true statement. log6 [4(x + 1)] = log6 (4) + log6 (x + 1)

192

views

Textbook Question

In Exercises 89–102, determine whether each equation is true or false. Where possible, show work to support your conclusion. If the statement is false, make the necessary change(s) to produce a true statement. log6 [4(x + 1)] = log6 (4) + log6 (x + 1)

192

views

Textbook Question

In Exercises 89–102, determine whether each equation is true or false. Where possible, show work to support your conclusion. If the statement is false, make the necessary change(s) to produce a true statement. log3 (7) = 1/[log7 (3)]

182

views

Textbook Question

Use properties of logarithms to rewrite each function, then graph. ƒ(x) = log￬2 [4 (x-3) ]

302

views

Textbook Question

Use properties of logarithms to rewrite each function, then graph. ƒ(x) = log￬3 [9 (x+2) ]

181

views

Textbook Question

In Exercises 101–104, write each equation in its equivalent exponential form. Then solve for x. log4 x=-3

232

views

Textbook Question

In Exercises 109–112, find the domain of each logarithmic function. f(x) = log[(x+1)/(x-5)]

In Exercises 125–128, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. log7 49 / log7 7 = log7 49 - log7 7

220

views

Textbook Question

In Exercises 125–128, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. logb (x^3 + y^3) = 3 logb x + 3 logb y

223

views

Textbook Question

In Exercises 125–128, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. logb (x^3 + y^3) = 3 logb x + 3 logb y

223

views

Textbook Question

In Exercises 125–128, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. logb (xy)^5 = (logb x + logb y)^5

212

views

Textbook Question

If log 3 = A and log 7 = B, find log7 (9) in terms of A and B.

892

views

My Courses

Chemistry

Biology

Math

Physics

Business

Social Sciences

Programming

Product & Marketing

6. Exponential & Logarithmic Functions

Properties of Logarithms

Learn with Callie

Learn with other creators

Practice this topic