Question 1

Assume that x and b ( b ≠ 1) are positive numbers. Use the properties of logarithms to write the expression as the logarithm of a single quantity.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)    A

Question 2

How long will it take $900 to double itself if it is invested at 11% interest compounded semiannually? Please round the answer to the nearest tenth.

Accepted Answer

A)  6.5 years 
B)  9.5 years 
C)  7.0 years 
D)  5.5 years 
E)  7.5 years 
A)  6.5 years 
B)  9.5 years 
C)  7.0 years 
D)  5.5 years 
E)  7.5 years A

Question 3

An earthquake has a period of   second, and an amplitude of   micrometers. Find its measure on the Richter scale.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)    D

Question 4

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

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 5

Graph the function.

Accepted Answer

A)    
B)    
C)    
D)    
E)  none of these 
A)    
B)    
C)    
D)    
E)  none of these

Question 6

Use the change of base formula to identify the expression that is equivalent to   .

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 7

Write the logarithmic statement in exponential form. For example, "log 2 8 = 3" becomes "2 3 = 8" in exponential form. log 10 100 = 2

Accepted Answer

A)  10 2 = -100 
B)  10 2 = 0 
C)  2 10 = 100 
D)  10 2 = 100 
E)  10 100 = 2 
A)  10 2 = -100 
B)  10 2 = 0 
C)  2 10 = 100 
D)  10 2 = 100 
E)  10 100 = 2

Question 8

Write the logarithmic statement in exponential form. For example, "log 2 8 = 3" becomes "2 3 = 8" in exponential form.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 9

Use the formula   to find the total amount of money accumulated at the end of the indicated time period by compounding continuously. Please round the answers to the nearest hundredth. $7,000 for 35 years at 13%.

Accepted Answer

A)  $606,927.99 
B)  $529,502.67 
C)  $566,096.83 
D)  $466,849.94 
E)  $592,807.49 
A)  $606,927.99 
B)  $529,502.67 
C)  $566,096.83 
D)  $466,849.94 
E)  $592,807.49

Question 10

Use your calculator to find x when given ln x . Express answer to four decimal places.

Accepted Answer

A)  0.0568 
B)  0.0768 
C)  0.1068 
D)  0.0868 
E)  0.0468 
A)  0.0568 
B)  0.0768 
C)  0.1068 
D)  0.0868 
E)  0.0468

Question 11

Solve the exponential equation and express approximate solutions to the nearest hundredth. 8 25 x + 3 = 34 x + 8

Accepted Answer

A)  x = 0.75 
B)  x = 0.83 
C)  x = 0.91 
D)  x = 0.45 
E)  x = 8.48 
A)  x = 0.75 
B)  x = 0.83 
C)  x = 0.91 
D)  x = 0.45 
E)  x = 8.48

Question 12

Use your calculator to find x when given ln x . Express answer to four decimal places.

Accepted Answer

A)  1.1838 
B)  1.1238 
C)  1.1638 
D)  1.1338 
E)  1.1538 
A)  1.1838 
B)  1.1238 
C)  1.1638 
D)  1.1338 
E)  1.1538

Question 13

Use a calculator and the change-of-base formula to find the logarithm to four decimal places.

Accepted Answer

A)  1.0419 
B)  - 1.4650 
C)  1.3645 
D)  - 1.4572 
E)  2.2304 
A)  1.0419 
B)  - 1.4650 
C)  1.3645 
D)  - 1.4572 
E)  2.2304

Question 14

Find the value, if possible. Give the answer to four decimal places.

Accepted Answer

A)  0.3471 
B)  0.3411 
C)  0.3642 
D)  0.3586 
E)  none of these 
A)  0.3471 
B)  0.3411 
C)  0.3642 
D)  0.3586 
E)  none of these

Question 15

Write the logarithm as a sum and/or difference of logarithms of a single quantity. Then simplify if possible. Assume that q and w are positive numbers.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 16

The number of grams Q of a certain radioactive substance present after t seconds is given by the equation   . How many grams remain after 14 seconds? Please round the answers to the nearest whole.

Accepted Answer

A)  Q = 1,309 grams 
B)  Q = 1,283 grams 
C)  Q = 1,490 grams 
D)  Q = 1,232 grams 
E)  Q = 1,233 grams 
A)  Q = 1,309 grams 
B)  Q = 1,283 grams 
C)  Q = 1,490 grams 
D)  Q = 1,232 grams 
E)  Q = 1,233 grams

Question 17

Find the value, if possible. Give the answer to four decimal places.

Accepted Answer

A)  - 0.6330 
B)  - 0.6482 
C)  - 0.6675 
D)  - 0.5656 
E)  none of these 
A)  - 0.6330 
B)  - 0.6482 
C)  - 0.6675 
D)  - 0.5656 
E)  none of these

Question 18

Use the formula   to find the total amount of money accumulated at the end of the indicated time period for the following investments. Please round the answers to the nearest hundredth. $300 for 13 years at 8% compounded semiannually.

Accepted Answer

A)  $813.02 
B)  $830.96 
C)  $823.83 
D)  $831.74 
E)  $875.65 
A)  $813.02 
B)  $830.96 
C)  $823.83 
D)  $831.74 
E)  $875.65

Question 19

Graph the exponential function.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 20

The population of the earth is approximately 6 billion people and is growing at an annual growth rate of 1.9%. Assuming a Malthusian growth model, find the world population in 45 years. Round your answer to the nearest tenth.

Accepted Answer

A)  12.4 billion 
B)  14.8 billion 
C)  12.1 billion 
D)  14.1 billion 
A)  12.4 billion 
B)  14.8 billion 
C)  12.1 billion 
D)  14.1 billion

Assume that x and b ( b ≠ 1) are positive numbers. Use the properties of logarithms to write the expression as the logarithm of a single quantity.

How long will it take $900 to double itself if it is invested at 11% interest compounded semiannually? Please round the answer to the nearest tenth.

An earthquake has a period of second, and an amplitude of micrometers. Find its measure on the Richter scale.

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

Graph the function.

Use the change of base formula to identify the expression that is equivalent to .

Write the logarithmic statement in exponential form. For example, "log ₂ 8 = 3" becomes "2³ = 8" in exponential form. log ₁₀ 100 = 2

Write the logarithmic statement in exponential form. For example, "log 2 8 = 3" becomes "2 ³ = 8" in exponential form.

Use the formula to find the total amount of money accumulated at the end of the indicated time period by compounding continuously. Please round the answers to the nearest hundredth. $7,000 for 35 years at 13%.

Use your calculator to find x when given ln x . Express answer to four decimal places.

Solve the exponential equation and express approximate solutions to the nearest hundredth. 8^{25 x + 3} = 34^{x + 8}

Use your calculator to find x when given ln x . Express answer to four decimal places.

Use a calculator and the change-of-base formula to find the logarithm to four decimal places.

Find the value, if possible. Give the answer to four decimal places.

Write the logarithm as a sum and/or difference of logarithms of a single quantity. Then simplify if possible. Assume that q and w are positive numbers.

The number of grams Q of a certain radioactive substance present after t seconds is given by the equation . How many grams remain after 14 seconds? Please round the answers to the nearest whole.

Find the value, if possible. Give the answer to four decimal places.

Use the formula to find the total amount of money accumulated at the end of the indicated time period for the following investments. Please round the answers to the nearest hundredth. $300 for 13 years at 8% compounded semiannually.

Graph the exponential function.

The population of the earth is approximately 6 billion people and is growing at an annual growth rate of 1.9%. Assuming a Malthusian growth model, find the world population in 45 years. Round your answer to the nearest tenth.

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Linear Equations

Inequalities

Polynomials, Polynomial Functions, and Equations

Rational Expressions

Radical Expressions and Equations

Quadratic Equations and Functions; Inequalities; and Algebra, Composition, and Inverses of Functions

Conic Sections and More Graphing

Miscellaneous Topics

Filters

Exam 9: Exponential and Logarithmic Functions

Assume that x and b ( b ≠ 1) are positive numbers. Use the properties of logarithms to write the expression as the logarithm of a single quantity.

How long will it take $900 to double itself if it is invested at 11% interest compounded semiannually? Please round the answer to the nearest tenth.

An earthquake has a period of second, and an amplitude of micrometers. Find its measure on the Richter scale.

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

Graph the function.

Use the change of base formula to identify the expression that is equivalent to .

Write the logarithmic statement in exponential form. For example, "log 2 8 = 3" becomes "2 3 = 8" in exponential form. log 10 100 = 2

Write the logarithmic statement in exponential form. For example, "log 2 8 = 3" becomes "2 3 = 8" in exponential form.

Use the formula to find the total amount of money accumulated at the end of the indicated time period by compounding continuously. Please round the answers to the nearest hundredth. $7,000 for 35 years at 13%.

Use your calculator to find x when given ln x . Express answer to four decimal places.

Solve the exponential equation and express approximate solutions to the nearest hundredth. 8 25 x + 3 = 34 x + 8

Use your calculator to find x when given ln x . Express answer to four decimal places.

Use a calculator and the change-of-base formula to find the logarithm to four decimal places.

Find the value, if possible. Give the answer to four decimal places.

Write the logarithm as a sum and/or difference of logarithms of a single quantity. Then simplify if possible. Assume that q and w are positive numbers.

The number of grams Q of a certain radioactive substance present after t seconds is given by the equation . How many grams remain after 14 seconds? Please round the answers to the nearest whole.

Find the value, if possible. Give the answer to four decimal places.

Use the formula to find the total amount of money accumulated at the end of the indicated time period for the following investments. Please round the answers to the nearest hundredth. $300 for 13 years at 8% compounded semiannually.

Graph the exponential function.

The population of the earth is approximately 6 billion people and is growing at an annual growth rate of 1.9%. Assuming a Malthusian growth model, find the world population in 45 years. Round your answer to the nearest tenth.

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Linear Equations

Inequalities

Polynomials, Polynomial Functions, and Equations

Rational Expressions

Radical Expressions and Equations

Quadratic Equations and Functions; Inequalities; and Algebra, Composition, and Inverses of Functions

Conic Sections and More Graphing

Miscellaneous Topics

Filters

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

Write the logarithmic statement in exponential form. For example, "log ₂ 8 = 3" becomes "2³ = 8" in exponential form. log ₁₀ 100 = 2

Write the logarithmic statement in exponential form. For example, "log 2 8 = 3" becomes "2 ³ = 8" in exponential form.

Solve the exponential equation and express approximate solutions to the nearest hundredth. 8^{25 x + 3} = 34^{x + 8}