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.

$\frac32\log1$

179

views

Multiple Choice

Evaluate the given logarithm.

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

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

303

views

Textbook Question

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

229

views

Textbook Question

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

383

views

Textbook Question

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

203

views

Textbook Question

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

202

views

Textbook Question

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

213

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

234

views

Textbook Question

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

245

views

Textbook Question

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

201

views

Textbook Question

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

220

views

Textbook Question

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

245

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

185

views

Textbook Question

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

307

views

Textbook Question

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

240

views

Textbook Question

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

196

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)

260

views

Textbook Question

Solve each equation. x = log￬3 1/81

198

views

Textbook Question

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

225

views

Textbook Question

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

225

views

Textbook Question

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

261

views

Textbook Question

Solve each equation. log￬x 27/64 = 3

187

views

Textbook Question

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

Solve each equation. x = log￬8 ∜8

143

views

Textbook Question

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

Solve each equation. x = log￬7 ⁵√7

197

views

Textbook Question

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

221

views

Textbook Question

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

235

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

297

views

Textbook Question

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

196

views

Textbook Question

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

205

views

Textbook Question

Solve each equation. log￬x 25 = -2

164

views

Textbook Question

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

222

views

Textbook Question

Solve each equation. log￬4 x = 3

193

views

Textbook Question

Solve each equation. log￬2 x = 3

167

views

Textbook Question

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

Solve each equation. x = log￬4 ∛16

235

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)

690

views

Textbook Question

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

225

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)

254

views

Textbook Question

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

199

views

Textbook Question

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

186

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)

310

views

Textbook Question

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

211

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)

298

views

Textbook Question

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

189

views

Textbook Question

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

174

views

Textbook Question

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

191

views

Textbook Question

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

301

views

Textbook Question

Graph each function. ƒ(x) = log￬10 x

204

views

Textbook Question

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

197

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)

184

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

165

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

159

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)

182

views

Textbook Question

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

219

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

201

views

Textbook Question

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

222

views

Textbook Question

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

173

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)

332

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)

203

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)

193

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

145

views

Textbook Question

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

392

views

Textbook Question

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

371

views

Textbook Question

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

250

views

Textbook Question

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

222

views

Textbook Question

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

203

views

Textbook Question

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

236

views

Textbook Question

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

262

views

Textbook Question

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

211

views

Textbook Question

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

203

views

Textbook Question

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

193

views

Textbook Question

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

223

views

Textbook Question

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

221

views

Textbook Question

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

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 9/4

231

views

Textbook Question

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

207

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

252

views

Textbook Question

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

215

views

Textbook Question

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

253

views

Textbook Question

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

211

views

Textbook Question

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

220

views

Textbook Question

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

214

views

Textbook Question

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

224

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)

243

views

Textbook Question

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

218

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)].

226

views

Textbook Question

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

221

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