Question 1

Write as a logarithm of a single expression.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 2

For the given functions f and g , find the indicated value.
-

Accepted Answer

A)  45 
B)  280 
C)  91 
D)  43

Question 3

Approximate the following value. Round to four decimal places.
-

Accepted Answer

A)  0.2019 
B)  -4.6211 
C)  0.1827 
D)  5.4739

Question 4

Write the equation in logarithmic form.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 5

Write the equation in logarithmic form.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 6

To what exponent must the base 10 be raised to obtain the given value? Round the answer to four decimal places.
-210

Accepted Answer

A)  5.3471 
B)  2.3222 
C)  2.3201 
D)  2.3243

Question 7

Solve for the indicated variable.
-

Accepted Answer

A)   
B)  x = e(y - 1) + 2y + 3 
C)  x = 2y + 3 
D)  x = y + 6

Question 8

For the given functions f and g , find the indicated value.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 9

Graph the function.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 10

Use the change of base formula to find the value of the following logarithm. Do not round logarithms in the change of
base formula. Write the answer rounded to the nearest ten-thousandth.
-

Accepted Answer

A)  3.9539 
B)  1.9036 
C)  0.5253 
D)  1.2304

Question 11

Use properties of logarithms to expand the logarithmic expression as much as possible.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 12

Write as a logarithm of a single expression.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 13

For the given function, find the domain and range of both f(x) and f-1(x).
-

Accepted Answer

A)   
B)   
C)   
D)

Question 14

For the given functions f and g , find the indicated composition.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 15

Use properties of logarithms to expand the logarithmic expression as much as possible.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 16

Find the common logarithm of the number. Round answer to four decimal places.
-

Accepted Answer

A)  4.9628 
B)  2.1523 
C)  2.1553 
D)  2.1584

Question 17

Use properties of logarithms to expand the logarithmic expression as much as possible.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 18

For the given functions f and g , find the indicated composition.
-f(x) = -2x + 4, g(x) = 5x + 5

Accepted Answer

A)  -10x + 25 
B)  -10x - 15 
C)  -10x + 14 
D)  10x + 25

Question 19

To what exponent must the base 10 be raised to obtain the given value? Round the answer to four decimal places.
-0.00531

Accepted Answer

A)  -2.2832 
B)  -5.2382 
C)  -2.2668 
D)  -2.2749

Question 20

Find the power of 10. Round answers to six decimal places.
-

Accepted Answer

A)  0.580248 
B)  3.501870 
C)  1.133522 
D)  0.285562

Exam 13: Exponential and Logarithmic Functions

Write as a logarithm of a single expression. -

For the given functions f and g , find the indicated value. -

Approximate the following value. Round to four decimal places. -

Write the equation in logarithmic form. -

Write the equation in logarithmic form. -

To what exponent must the base 10 be raised to obtain the given value? Round the answer to four decimal places. -210

Solve for the indicated variable. -

For the given functions f and g , find the indicated value. -

Graph the function. -

Use the change of base formula to find the value of the following logarithm. Do not round logarithms in the change of base formula. Write the answer rounded to the nearest ten-thousandth. -

Use properties of logarithms to expand the logarithmic expression as much as possible. -

Write as a logarithm of a single expression. -

For the given function, find the domain and range of both f(x) and f-1(x) . -

For the given functions f and g , find the indicated composition. -

Use properties of logarithms to expand the logarithmic expression as much as possible. -

Find the common logarithm of the number. Round answer to four decimal places. -

Use properties of logarithms to expand the logarithmic expression as much as possible. -

For the given functions f and g , find the indicated composition. -f(x) = -2x + 4, g(x) = 5x + 5

To what exponent must the base 10 be raised to obtain the given value? Round the answer to four decimal places. -0.00531

Find the power of 10. Round answers to six decimal places. -