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

390

views

Textbook Question

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

294

views

Textbook Question

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

484

views

Textbook Question

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

285

views

Textbook Question

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

272

views

Textbook Question

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

274

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

300

views

Textbook Question

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

321

views

Textbook Question

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

276

views

Textbook Question

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

303

views

Textbook Question

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

315

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

252

views

Textbook Question

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

396

views

Textbook Question

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

302

views

Textbook Question

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

258

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)

334

views

Textbook Question

Solve each equation. x = log￬3 1/81

262

views

Textbook Question

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

294

views

Textbook Question

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

294

views

Textbook Question

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

346

views

Textbook Question

Solve each equation. log￬x 27/64 = 3

246

views

Textbook Question

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

Solve each equation. x = log￬8 ∜8

197

views

Textbook Question

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

Solve each equation. x = log￬7 ⁵√7

247

views

Textbook Question

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

301

views

Textbook Question

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

311

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

381

views

Textbook Question

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

262

views

Textbook Question

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

267

views

Textbook Question

Solve each equation. log￬x 25 = -2

233

views

Textbook Question

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

281

views

Textbook Question

Solve each equation. log￬4 x = 3

247

views

Textbook Question

Solve each equation. log￬2 x = 3

222

views

Textbook Question

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

Solve each equation. x = log￬4 ∛16

311

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)

856

views

Textbook Question

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

317

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)

365

views

Textbook Question

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

258

views

Textbook Question

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

258

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)

390

views

Textbook Question

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

268

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)

408

views

Textbook Question

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

247

views

Textbook Question

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

235

views

Textbook Question

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

246

views

Textbook Question

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

448

views

Textbook Question

Graph each function. ƒ(x) = log￬10 x

273

views

Textbook Question

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

268

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)

244

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

228

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

228

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)

212

views

Textbook Question

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

283

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

226

views

Textbook Question

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

298

views

Textbook Question

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

252

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)

450

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)

241

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)

251

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

184

views

Textbook Question

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

498

views

Textbook Question

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

444

views

Textbook Question

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

306

views

Textbook Question

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

304

views

Textbook Question

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

278

views

Textbook Question

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

302

views

Textbook Question

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

334

views

Textbook Question

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

266

views

Textbook Question

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

262

views

Textbook Question

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

269

views

Textbook Question

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

305

views

Textbook Question

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

289

views

Textbook Question

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

270

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

305

views

Textbook Question

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

276

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

339

views

Textbook Question

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

270

views

Textbook Question

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

328

views

Textbook Question

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

313

views

Textbook Question

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

301

views

Textbook Question

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

276

views

Textbook Question

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

296

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)

314

views

Textbook Question

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

281

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)].

296

views

Textbook Question

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

289

views

6. Exponential & Logarithmic Functions

Introduction to Logarithms

Learn with Callie

Learn with other creators

Practice this topic