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

398

views

Textbook Question

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

305

views

Textbook Question

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

491

views

Textbook Question

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

301

views

Textbook Question

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

284

views

Textbook Question

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

281

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

308

views

Textbook Question

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

328

views

Textbook Question

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

284

views

Textbook Question

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

319

views

Textbook Question

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

331

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

258

views

Textbook Question

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

406

views

Textbook Question

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

313

views

Textbook Question

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

267

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)

343

views

Textbook Question

Solve each equation. x = log￬3 1/81

272

views

Textbook Question

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

301

views

Textbook Question

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

301

views

Textbook Question

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

355

views

Textbook Question

Solve each equation. log￬x 27/64 = 3

254

views

Textbook Question

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

Solve each equation. x = log￬8 ∜8

204

views

Textbook Question

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

Solve each equation. x = log￬7 ⁵√7

254

views

Textbook Question

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

316

views

Textbook Question

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

321

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

394

views

Textbook Question

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

271

views

Textbook Question

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

278

views

Textbook Question

Solve each equation. log￬x 25 = -2

243

views

Textbook Question

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

287

views

Textbook Question

Solve each equation. log￬4 x = 3

256

views

Textbook Question

Solve each equation. log￬2 x = 3

230

views

Textbook Question

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

Solve each equation. x = log￬4 ∛16

324

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)

871

views

Textbook Question

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

331

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)

389

views

Textbook Question

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

270

views

Textbook Question

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

266

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)

403

views

Textbook Question

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

277

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)

427

views

Textbook Question

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

260

views

Textbook Question

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

239

views

Textbook Question

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

255

views

Textbook Question

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

467

views

Textbook Question

Graph each function. ƒ(x) = log￬10 x

286

views

Textbook Question

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

278

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)

250

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

238

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

236

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)

221

views

Textbook Question

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

290

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

234

views

Textbook Question

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

308

views

Textbook Question

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

264

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)

471

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)

249

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)

259

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

195

views

Textbook Question

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

509

views

Textbook Question

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

454

views

Textbook Question

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

313

views

Textbook Question

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

313

views

Textbook Question

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

290

views

Textbook Question

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

312

views

Textbook Question

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

344

views

Textbook Question

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

274

views

Textbook Question

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

273

views

Textbook Question

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

277

views

Textbook Question

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

317

views

Textbook Question

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

300

views

Textbook Question

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

277

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

313

views

Textbook Question

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

286

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

346

views

Textbook Question

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

280

views

Textbook Question

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

341

views

Textbook Question

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

324

views

Textbook Question

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

312

views

Textbook Question

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

284

views

Textbook Question

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

308

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)

323

views

Textbook Question

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

287

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)].

310

views

Textbook Question

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

300

views

6. Exponential & Logarithmic Functions

Introduction to Logarithms

Learn with Callie

Learn with other creators

Practice this topic