Question 1

Write the logarithmic statement in exponential form. For example, "log 2 8 = 3" becomes "2 3 = 8" in exponential form. log 10 0.1 = -1

Accepted Answer

A)  1 -10 = 0.1 
B)  10 -1 = 0.1 
C)  10 1 = 0.1 
D)  10 -0.1 = 1 
E)  10 0.1 = -1

Question 2

Assume that  ,  ,  , and  are positive numbers Use the properties of logarithms to write the expression in terms of the logarithms of  ,  , and  .

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 3

Which of these graphs could represent the graph of y = ln 3 x ?

Accepted Answer

A)   
B)   
C)   
D)

Question 4

An investment of $7,000 earns 6% interest, compounded continuously. What will the investment be worth in 8 years?

Accepted Answer

A)  $11,293.52 
B)  $11,313.71 
C)  $11,309.36 
D)  $11,312.52 
E)  $11,301.86

Question 5

Graph the exponential function. f ( x ) = e  x  - 5

Accepted Answer

A)   
B)   
C)   
D)

Question 6

Graph the function.

Accepted Answer

A)   
B)   
C)   
D)

Question 7

Graph the exponential function  . Graph the exponential function  on the same axes in order to compare them.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 8

Graph  by reflecting the graph of  across the line y = x .

Accepted Answer

A)   
B)   
C)

Question 9

Solve the exponential equation and express approximate solutions to the nearest hundredth. 7  x + 4 = 41

Accepted Answer

A)  x = 1.81 
B)  x = 1.86 
C)  x = 2.07 
D)  x = 1.74 
E)  x = 2.01

Question 10

A 4 year certificate of deposit pays an annual rate of 8%, compounded daily. The maximum allowable deposit is $17,000. What is the most interest a depositor can earn from the CD? Round the result to the nearest cent.

Accepted Answer

A)  $6,410.35 
B)  $6,510.45 
C)  $6,310.25 
D)  $6,400.34 
E)  $6,420.36

Question 11

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

Accepted Answer

A)  0.3738 
B)  0.3459 
C)  0.3575 
D)  0.3631 
E)  none of these

Question 12

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

Accepted Answer

A)   
B)   
C)   
D)

Question 13

Which of these graphs could represent the graph of  ?

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 14

An account now contains $11,000 and has been accumulating 7% annual interest, compounded continuously, for 10 years. Find the initial deposit.

Accepted Answer

A)  $5,448.44 
B)  $5,462.44 
C)  $5,467.00 
D)  $5,463.69 
E)  $5,466.19

Question 15

Graph the function  . Remember that the graph of  is given.

Accepted Answer

A)   
B)   
C)   
D)

Question 16

How long will it take $200 to triple itself if it is invested at 8% interest compounded continuously? Please round the answer to the nearest tenth.

Accepted Answer

A)  12.7 years 
B)  14.2 years 
C)  16.7 years 
D)  14.7 years 
E)  13.7 years

Question 17

Graph  by graphing  .

Accepted Answer

A)   
B)   
C)

Question 18

Graph the exponential function  . Graph the exponential function  on the same axes in order to compare them.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 19

Calculate how many times more intense an earthquake with a Richter number of 8.1 is than an earthquake with a Richter number of 6.2. Please round the answer to the whole number.

Accepted Answer

A)  84 
B)  87 
C)  79 
D)  89 
E)  81

Question 20

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

Accepted Answer

A)  12.7894 
B)  12.7294 
C)  12.7694 
D)  12.7394 
E)  12.7594

Exam 9: Exponential and Logarithmic Functions

Write the logarithmic statement in exponential form. For example, "log ₂ 8 = 3" becomes "2³ = 8" in exponential form. log ₁₀ 0.1 = -1

Assume that , , , and are positive numbers Use the properties of logarithms to write the expression in terms of the logarithms of , , and .

Which of these graphs could represent the graph of y = ln 3 x ?

An investment of $7,000 earns 6% interest, compounded continuously. What will the investment be worth in 8 years?

Graph the exponential function. f ( x ) = e ^x - 5

Graph the function.

Graph the exponential function . Graph the exponential function on the same axes in order to compare them.

Graph by reflecting the graph of across the line y = x .

Solve the exponential equation and express approximate solutions to the nearest hundredth. 7 ^x + 4 = 41

A 4 year certificate of deposit pays an annual rate of 8%, compounded daily. The maximum allowable deposit is $17,000. What is the most interest a depositor can earn from the CD? Round the result to the nearest cent.

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

Graph the exponential function. f ( x ) = 3 ^x

Which of these graphs could represent the graph of ?

An account now contains $11,000 and has been accumulating 7% annual interest, compounded continuously, for 10 years. Find the initial deposit.

Graph the function . Remember that the graph of is given.

How long will it take $200 to triple itself if it is invested at 8% interest compounded continuously? Please round the answer to the nearest tenth.

Graph by graphing .

Graph the exponential function . Graph the exponential function on the same axes in order to compare them.

Calculate how many times more intense an earthquake with a Richter number of 8.1 is than an earthquake with a Richter number of 6.2. Please round the answer to the whole number.

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