Channels

Multiple Choice

Change the following logarithmic expression to its equivalent exponential form.

$\log_4x=5$

Change the following logarithmic expression to its equivalent exponential form.

$x=\log9$

Change the following exponential expression to its equivalent logarithmic form.

$3^{x}=7$

Change the following exponential expression to its equivalent logarithmic form.

$e^9=x+3$

Evaluate the given logarithm.

$\log_77^{0.3}$

Evaluate the given logarithm.

$\frac32\log1$

Evaluate the given logarithm.

$\log_9\frac{1}{81}$

In Exercises 1–8, write each equation in its equivalent exponential form. 4 = log₂ 16

308

views

Textbook Question

In Exercises 1–8, write each equation in its equivalent exponential form. 2 = log3 x

234

views

Textbook Question

In Exercises 1–8, write each equation in its equivalent exponential form. 2 = log9 x

391

views

Textbook Question

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

207

views

Textbook Question

In Exercises 1–8, write each equation in its equivalent exponential form. log6 216 = y

205

views

Textbook Question

In Exercises 9–20, write each equation in its equivalent logarithmic form. 5^4 = 625

217

views

Textbook Question

In Exercises 9–20, write each equation in its equivalent logarithmic form. 2^-4 = 1/16

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. 3^4 = 81

241

views

Textbook Question

In Exercises 13–15, write each equation in its equivalent exponential form. 1/2 = log49 7

250

views

Textbook Question

In Exercises 9–20, write each equation in its equivalent logarithmic form. ∛8 = 2

208

views

Textbook Question

In Exercises 9–20, write each equation in its equivalent logarithmic form. 13^2 = x

228

views

Textbook Question

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

248

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￬5 5 = 1

190

views

Textbook Question

In Exercises 9–20, write each equation in its equivalent logarithmic form. b^3 = 1000

315

views

Textbook Question

In Exercises 16–18, write each equation in its equivalent logarithmic form. 13^y = 874

244

views

Textbook Question

In Exercises 9–20, write each equation in its equivalent logarithmic form. 7^y = 200

200

views

Textbook Question

In Exercises 19–29, evaluate each expression without using a calculator. If evaluation is not possible, state the reason. log5 (1/5)

267

views

Textbook Question

Solve each equation. x = log￬3 1/81

203

views

Textbook Question

In Exercises 21–42, evaluate each expression without using a calculator. log4 16

231

views

Textbook Question

In Exercises 21–42, evaluate each expression without using a calculator. log4 16

231

views

Textbook Question

In Exercises 19–29, evaluate each expression without using a calculator. If evaluation is not possible, state the reason. log16 4

271

views

Textbook Question

Solve each equation. log￬x 27/64 = 3

191

views

Textbook Question

In Exercises 21–42, evaluate each expression without using a calculator. log2 64

Solve each equation. x = log￬8 ∜8

147

views

Textbook Question

In Exercises 21–42, evaluate each expression without using a calculator. log2 64

Solve each equation. x = log￬7 ⁵√7

202

views

Textbook Question

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

226

views

Textbook Question

In Exercises 21–42, evaluate each expression without using a calculator. log5 (1/5)

240

views

Textbook Question

In Exercises 19–29, evaluate each expression without using a calculator. If evaluation is not possible, state the reason. ln e^5

306

views

Textbook Question

In Exercises 21–42, evaluate each expression without using a calculator. log2 (1/8)

200

views

Textbook Question

In Exercises 21–42, evaluate each expression without using a calculator. log7 √7

210

views

Textbook Question

Solve each equation. log￬x 25 = -2

169

views

Textbook Question

In Exercises 21–42, evaluate each expression without using a calculator. log2 (1/√2)

229

views

Textbook Question

Solve each equation. log￬4 x = 3

198

views

Textbook Question

Solve each equation. log￬2 x = 3

172

views

Textbook Question

In Exercises 21–42, evaluate each expression without using a calculator. log64 8

Solve each equation. x = log￬4 ∛16

240

views

Textbook Question

In Exercises 32–35, the graph of a logarithmic function is given. Select the function for each graph from the following options: f(x) = logx, g(x) = log(-x), h(x) = log(2-x), r(x)= 1+log(2-x)

704

views

Textbook Question

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

235

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)

260

views

Textbook Question

In Exercises 21–42, evaluate each expression without using a calculator. log4 1

205

views

Textbook Question

Solve each equation. log￬1/3 (x+6) = -2

191

views

Textbook Question

In Exercises 39–40, graph f and g in the same rectangular coordinate system. Use transformations of the graph of f to obtain the graph of g. Graph and give equations of all asymptotes. Use the graphs to determine each function's domain and range. f(x) = log x and g(x) = - log (x+3)

314

views

Textbook Question

In Exercises 21–42, evaluate each expression without using a calculator. log5 5^7

216

views

Textbook Question

In Exercises 39–40, graph f and g in the same rectangular coordinate system. Use transformations of the graph of f to obtain the graph of g. Graph and give equations of all asymptotes. Use the graphs to determine each function's domain and range. f(x) = ln x and g(x) = - ln (2x)

305

views

Textbook Question

In Exercises 21–42, evaluate each expression without using a calculator. 8^(log8 19)

193

views

Textbook Question

Solve each equation. 3x - 15 = log￬x 1 (x>0, x≠1)

180

views

Textbook Question

In Exercises 43– 48, match the function with its graph from choices A–F. ƒ(x) = log￬2 x

195

views

Textbook Question

Graph f(x) = (1/2)^x and g(x) = log(1/2) x in the same rectangular coordinate system.

316

views

Textbook Question

Graph each function. ƒ(x) = log￬10 x

210

views

Textbook Question

Graph each function. ƒ(x) = log￬6 (x-2)

201

views

Textbook Question

In Exercises 53-58, begin by graphing f(x) = log₂ x. Then use transformations of this graph to graph the given function. What is the vertical asymptote? Use the graphs to determine each function's domain and range. g(x) = log₂ (x + 1)

188

views

Textbook Question

In Exercises 53-58, begin by graphing f(x) = log₂ x. Then use transformations of this graph to graph the given function. What is the vertical asymptote? Use the graphs to determine each function's domain and range. h(x)=1+ log₂ x

170

views

Textbook Question

In Exercises 53-58, begin by graphing f(x) = log₂ x. Then use transformations of this graph to graph the given function. What is the vertical asymptote? Use the graphs to determine each function's domain and range. g(x) = (1/2)log₂ x

166

views

Textbook Question

The figure shows the graph of f(x) = log x. In Exercises 59–64, 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. g(x) = log(x − 1)

185

views

Textbook Question

Graph each function. Give the domain and range. ƒ(x) = (log￬2 x) + 3

225

views

Textbook Question

The figure shows the graph of f(x) = log x. In Exercises 59–64, 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. h(x) = log x − 1

204

views

Textbook Question

Graph each function. Give the domain and range. ƒ(x) = | log￬2 (x+3) |

227

views

Textbook Question

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

179

views

Textbook Question

The figure shows the graph of f(x) = log x. In Exercises 59–64, 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.

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

341

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. g(x) = ln (x+2)

206

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. h(x) = ln(x/2)

196

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. g(x) = 2 ln x

149

views

Textbook Question

In Exercises 75–80, find the domain of each logarithmic function. f(x) = log5 (x+4)

399

views

Textbook Question

In Exercises 75–80, find the domain of each logarithmic function. f(x) = log (2 - x)

379

views

Textbook Question

In Exercises 75–80, find the domain of each logarithmic function. f(x) = ln (x-2)²

256

views

Textbook Question

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

227

views

Textbook Question

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

208

views

Textbook Question

In Exercises 81–100, evaluate or simplify each expression without using a calculator. 10^(log 33)

241

views

Textbook Question

In Exercises 81–100, evaluate or simplify each expression without using a calculator. In 1

267

views

Textbook Question

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

216

views

Textbook Question

In Exercises 81–100, evaluate or simplify each expression without using a calculator. In e^6

208

views

Textbook Question

In Exercises 81–100, evaluate or simplify each expression without using a calculator. In (1/e^6)

199

views

Textbook Question

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

229

views

Textbook Question

In Exercises 81–100, evaluate or simplify each expression without using a calculator. In e^9x

225

views

Textbook Question

In Exercises 81–100, evaluate or simplify each expression without using a calculator. e^(ln 5x^2)

218

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 9/4

238

views

Textbook Question

In Exercises 81–100, evaluate or simplify each expression without using a calculator. 10^(log √x)

212

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 √30

257

views

Textbook Question

In Exercises 81–100, evaluate or simplify each expression without using a calculator. 10^(log ∛x)

219

views

Textbook Question

In Exercises 101–104, write each equation in its equivalent exponential form. Then solve for x. log3 (x-1) = 2

259

views

Textbook Question

Use properties of logarithms to rewrite each function, then graph. ƒ(x) = log￬3 x+1/9

219

views

Textbook Question

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

226

views

Textbook Question

In Exercises 105–108, evaluate each expression without using a calculator. log5 (log7 7)

220

views

Textbook Question

In Exercises 105–108, evaluate each expression without using a calculator. log5 (log2 32)

228

views

Textbook Question

In Exercises 105–108, evaluate each expression without using a calculator. log2 (log3 81)

In Exercises 105–108, evaluate each expression without using a calculator. log (ln e)

247

views

Textbook Question

In Exercises 109–112, find the domain of each logarithmic function. f(x) = ln (x² - x − 2)

223

views

Textbook Question

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

Without using a calculator, find the exact value of: [log3 81 - log𝝅 1]/[log2√2 8 - log 0.001]

Without using a calculator, find the exact value of log4 [log 3 (log₂ 8)].

231

views

Textbook Question

145. Without using a calculator, determine which is the greater number: log4 60 or log3 40.

226

views

My Courses

Chemistry

Biology

Math

Physics

Business

Social Sciences

Programming

Product & Marketing

6. Exponential & Logarithmic Functions

Introduction to Logarithms

Learn with Callie

Learn with other creators

Practice this topic