College Algebra - Online Tutor, Practice Problems & Exam Prep

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.

$\frac32\log1$

173

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

297

views

Textbook Question

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

224

views

Textbook Question

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

380

views

Textbook Question

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

198

views

Textbook Question

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

200

views

Textbook Question

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

208

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

231

views

Textbook Question

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

239

views

Textbook Question

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

197

views

Textbook Question

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

217

views

Textbook Question

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

241

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

181

views

Textbook Question

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

301

views

Textbook Question

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

238

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)

257

views

Textbook Question

Solve each equation. x = log￬3 1/81

195

views

Textbook Question

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

222

views

Textbook Question

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

222

views

Textbook Question

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

260

views

Textbook Question

Solve each equation. log￬x 27/64 = 3

183

views

Textbook Question

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

Solve each equation. x = log￬8 ∜8

141

views

Textbook Question

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

Solve each equation. x = log￬7 ⁵√7

195

views

Textbook Question

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

217

views

Textbook Question

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

232

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

294

views

Textbook Question

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

193

views

Textbook Question

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

204

views

Textbook Question

Solve each equation. log￬x 25 = -2

160

views

Textbook Question

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

218

views

Textbook Question

Solve each equation. log￬4 x = 3

192

views

Textbook Question

Solve each equation. log￬2 x = 3

164

views

Textbook Question

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

Solve each equation. x = log￬4 ∛16

233

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)

681

views

Textbook Question

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

219

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)

250

views

Textbook Question

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

196

views

Textbook Question

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

181

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)

304

views

Textbook Question

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

204

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)

294

views

Textbook Question

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

184

views

Textbook Question

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

171

views

Textbook Question

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

186

views

Textbook Question

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

294

views

Textbook Question

Graph each function. ƒ(x) = log￬10 x

201

views

Textbook Question

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

191

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)

181

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

162

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

157

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)

178

views

Textbook Question

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

211

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

199

views

Textbook Question

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

218

views

Textbook Question

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

169

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)

325

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)

200

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)

192

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

142

views

Textbook Question

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

385

views

Textbook Question

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

367

views

Textbook Question

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

248

views

Textbook Question

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

217

views

Textbook Question

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

199

views

Textbook Question

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

230

views

Textbook Question

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

259

views

Textbook Question

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

208

views

Textbook Question

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

201

views

Textbook Question

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

191

views

Textbook Question

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

222

views

Textbook Question

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

215

views

Textbook Question

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

210

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

229

views

Textbook Question

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

204

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

245

views

Textbook Question

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

211

views

Textbook Question

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

251

views

Textbook Question

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

202

views

Textbook Question

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

216

views

Textbook Question

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

213

views

Textbook Question

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

219

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)

241

views

Textbook Question

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

214

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)].

221

views

Textbook Question

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

216

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