A) f -1(x) = x3 - 5 B) f -1(x) = x3 + 5 C) f -1(x) = (x + 5)3 D) f -1(x) = A) f -1(x) = x3 - 5 B) f -1(x) = x3 + 5 C) f -1(x) = (x + 5)3 D) f -1(x) =

Exam 4: Exponential and Logarithmic Functions

The radioactive element americium-241 has a half-life of 432 years. How many years will it take a 20-g mass of americium-241 to decay to 7.8 g? Round your answer to the nearest year.

(Multiple Choice)

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Question 21

Write the equation in the simplified form b^x = k (exponential term = constant). Do not solve. 4^x(4⁷^x^{- 1}) = 16

(Multiple Choice)

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Question 22

Graph the exponential function. f(x) = e^-x^{- 2} + 1

(Multiple Choice)

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Question 23

Solve using any appropriate method. Clearly identify any extraneous roots. If there are no solutions, so state. log(x + 20) - log x = log(x + 2)

(Multiple Choice)

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Question 24

For simple interest accounts the interest earned or due depends on the principal p, interest rate r, and the time t in years according to the formula I = prt. Paul deposited $8400 in a savings account that pays 7.5% simple interest. How long will it take the account balance to reach $11,172.00 at this rate of interest, if no more deposits are made? (Hint: How much interest will be paid?)

(Short Answer)

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Question 25

Compute . f(x) =

(Multiple Choice)

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Question 26

Solve using the method of your choice. Answer in exact form and approximate form rounded to four decimal places. 8^x⁺³= 4602

(Short Answer)

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Question 27

Solve the equation by writing it in exponential form. Answer in decimal form to the thousandths place. ln e⁶^x = -32.4

(Multiple Choice)

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Question 28

Use the properties of logarithms to write the expression as a sum or difference of simple logarithmic terms.

(Multiple Choice)

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Question 29

Solve the equation using the uniqueness property of logarithms. log(10x + 10) = log 20

(Short Answer)

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Question 30

Graph the exponential function. f(x) = e^x^{+ 2} - 3

(Essay)

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Question 31

Use the following to answer questions : Use a calculator (as needed) to evaluate the function as indicated. Round values to the thousandths place if necessary. P(t) = 5800 · 16^x -t =

(Multiple Choice)

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Question 32

For accounts where interest is compounded continuously, the amount A accumulated or due depends on the principal p, interest rate r and the time t in years according to the formula A = pe^rt. Find t given A = $9023, p = $3500, and r = 5%. Round your answer to the nearest tenth.

(Multiple Choice)

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Question 33

Graph by the following function by translating the basic function y = b^x, sketching the asymptote, and strategically plotting a few points to round out the graph. Clearly state what shifts are applied. y = 2^x + 2

(Essay)

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Question 34

Graph the function using transformations of y = log_bx and strategically plotting a few points. f(x) = log₃x + 2

(Essay)

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Question 35

Determine the value of x by writing the equation in exponential form. log₂x = 5

(Short Answer)

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Question 36

Determine whether the function is one-to-one. If not, state why. {(-2, 5), (-4, 8), (3, 4), (-6, 7), (-3, 6), (1, 0)}

(Short Answer)

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Question 37

Stanley borrowed $4200 for 4 years. The total amount repaid is $4452.00. Find the annual simple interest rate on this loan.

(Short Answer)

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Question 38

Determine the value without using a calculator. log₃

(Multiple Choice)

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Question 39

Determine the value without using a calculator. log₁₇17

(Short Answer)

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Question 40

Showing 21 - 40 of 96

The radioactive element americium-241 has a half-life of 432 years. How many years will it take a 20-g mass of americium-241 to decay to 7.8 g? Round your answer to the nearest year.

Write the equation in the simplified form b^x = k (exponential term = constant). Do not solve. 4^x(4⁷^x^{- 1}) = 16

Graph the exponential function. f(x) = e^-x^{- 2} + 1

Solve using any appropriate method. Clearly identify any extraneous roots. If there are no solutions, so state. log(x + 20) - log x = log(x + 2)

Compute . f(x) =

Solve using the method of your choice. Answer in exact form and approximate form rounded to four decimal places. 8^x⁺³= 4602

Solve the equation by writing it in exponential form. Answer in decimal form to the thousandths place. ln e⁶^x = -32.4

Use the properties of logarithms to write the expression as a sum or difference of simple logarithmic terms.

Solve the equation using the uniqueness property of logarithms. log(10x + 10) = log 20

Graph the exponential function. f(x) = e^x^{+ 2} - 3

Use the following to answer questions : Use a calculator (as needed) to evaluate the function as indicated. Round values to the thousandths place if necessary. P(t) = 5800 · 16^x -t =

For accounts where interest is compounded continuously, the amount A accumulated or due depends on the principal p, interest rate r and the time t in years according to the formula A = pe^rt. Find t given A = $9023, p = $3500, and r = 5%. Round your answer to the nearest tenth.

Graph by the following function by translating the basic function y = b^x, sketching the asymptote, and strategically plotting a few points to round out the graph. Clearly state what shifts are applied. y = 2^x + 2

Graph the function using transformations of y = log_bx and strategically plotting a few points. f(x) = log₃x + 2

Determine the value of x by writing the equation in exponential form. log₂x = 5

Determine whether the function is one-to-one. If not, state why. {(-2, 5), (-4, 8), (3, 4), (-6, 7), (-3, 6), (1, 0)}

Stanley borrowed $4200 for 4 years. The total amount repaid is $4452.00. Find the annual simple interest rate on this loan.

Determine the value without using a calculator. log₃

Determine the value without using a calculator. log₁₇17

Equations and Inequalities

Relations, Functions and Graphs

Polynomial and Rational Functions

Introduction to Trigonometric Functions

Trigonometric Identities, Inverses, and Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Analytical Geometry

Additional Topics in Algebra

Bridges to Calculus - an Introduction to Limits

Review of Basic Concepts and Skills

Filters

Exam 4: Exponential and Logarithmic Functions

The radioactive element americium-241 has a half-life of 432 years. How many years will it take a 20-g mass of americium-241 to decay to 7.8 g? Round your answer to the nearest year.

Write the equation in the simplified form bx = k (exponential term = constant). Do not solve. 4x (47x - 1) = 16

Graph the exponential function. f(x) = e-x - 2 + 1

Solve using any appropriate method. Clearly identify any extraneous roots. If there are no solutions, so state. log(x + 20) - log x = log(x + 2)

Compute . f(x) =

Solve using the method of your choice. Answer in exact form and approximate form rounded to four decimal places. 8x + 3 = 4602

Solve the equation by writing it in exponential form. Answer in decimal form to the thousandths place. ln e6x = -32.4

Use the properties of logarithms to write the expression as a sum or difference of simple logarithmic terms.

Solve the equation using the uniqueness property of logarithms. log(10x + 10) = log 20

Graph the exponential function. f(x) = ex + 2 - 3

Use the following to answer questions : Use a calculator (as needed) to evaluate the function as indicated. Round values to the thousandths place if necessary. P(t) = 5800 · 16x -t =

For accounts where interest is compounded continuously, the amount A accumulated or due depends on the principal p, interest rate r and the time t in years according to the formula A = pert. Find t given A = $9023, p = $3500, and r = 5%. Round your answer to the nearest tenth.

Graph by the following function by translating the basic function y = bx, sketching the asymptote, and strategically plotting a few points to round out the graph. Clearly state what shifts are applied. y = 2x + 2

Graph the function using transformations of y = log b x and strategically plotting a few points. f(x) = log 3 x + 2

Determine the value of x by writing the equation in exponential form. log 2 x = 5

Determine whether the function is one-to-one. If not, state why. {(-2, 5), (-4, 8), (3, 4), (-6, 7), (-3, 6), (1, 0)}

Stanley borrowed $4200 for 4 years. The total amount repaid is $4452.00. Find the annual simple interest rate on this loan.

Determine the value without using a calculator. log 3

Determine the value without using a calculator. log 17 17

Equations and Inequalities

Relations, Functions and Graphs

Polynomial and Rational Functions

Introduction to Trigonometric Functions

Trigonometric Identities, Inverses, and Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Analytical Geometry

Additional Topics in Algebra

Bridges to Calculus - an Introduction to Limits

Review of Basic Concepts and Skills

Filters

Write the equation in the simplified form b^x = k (exponential term = constant). Do not solve. 4^x(4⁷^x^{- 1}) = 16

Graph the exponential function. f(x) = e^-x^{- 2} + 1

Solve using the method of your choice. Answer in exact form and approximate form rounded to four decimal places. 8^x⁺³= 4602

Solve the equation by writing it in exponential form. Answer in decimal form to the thousandths place. ln e⁶^x = -32.4

Graph the exponential function. f(x) = e^x^{+ 2} - 3

Use the following to answer questions : Use a calculator (as needed) to evaluate the function as indicated. Round values to the thousandths place if necessary. P(t) = 5800 · 16^x -t =

For accounts where interest is compounded continuously, the amount A accumulated or due depends on the principal p, interest rate r and the time t in years according to the formula A = pe^rt. Find t given A = $9023, p = $3500, and r = 5%. Round your answer to the nearest tenth.

Graph by the following function by translating the basic function y = b^x, sketching the asymptote, and strategically plotting a few points to round out the graph. Clearly state what shifts are applied. y = 2^x + 2

Graph the function using transformations of y = log_bx and strategically plotting a few points. f(x) = log₃x + 2

Determine the value of x by writing the equation in exponential form. log₂x = 5

Determine the value without using a calculator. log₃

Determine the value without using a calculator. log₁₇17