Question 1

The graph of a logarithmic function   is shown below. Find the base   .

Accepted Answer

A)    
B)  1 
C)    
D)  5 
E)  -5 
A)    
B)  1 
C)    
D)  5 
E)  -5

Question 2

The value of   is   .

Accepted Answer

A) True 
 B)False

Question 3

Solve the logarithmic equation   for   . Round to the nearest thousandth.

Accepted Answer

A)  10 
B)  2 
C)  1,024 
D)  20 
E)  100 
A)  10 
B)  2 
C)  1,024 
D)  20 
E)  100

Question 4

Which one of the following exponential equations is equivalent to   ?

Accepted Answer

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

Question 5

On August 21, 2009, the World Health Organization announced its prediction that the number of new cases of H1N1 (swine flu) virus would double every 3 days for several months. Determine the daily growth factor for the H1N1 virus (rounded to the nearest thousandths).

Accepted Answer

A)  8.000 
B)  1.732 
C)  2.000 
D)  1.000 
E)  1.260 
A)  8.000 
B)  1.732 
C)  2.000 
D)  1.000 
E)  1.260

Question 6

Solve the exponential equation   for   . Round to the nearest thousandth.

Accepted Answer

A)  1.946 
B)  2.189 
C)  12.772 
D)  -0.043 
E)  -23.133 
A)  1.946 
B)  2.189 
C)  12.772 
D)  -0.043 
E)  -23.133

Question 7

On August 21, 2009, the World Health Organization announced its prediction that the number of new cases of H1N1 (swine flu) virus would double every 5 days for several months. As of July 27, 2009, the number of new cases was 16,409. Determine the number of new cases of the H1N1 virus after 9 days. Rounded to the nearest whole number.

Accepted Answer

A)  24,117 
B)  57,139 
C)  18,849 
D)  8,401,408 
E)  17,723 
A)  24,117 
B)  57,139 
C)  18,849 
D)  8,401,408 
E)  17,723

Question 8

The pH of tomatoes is normally in the range of 4.1-4.4. If the pH of tomatoes is too high, nutrient deficiencies and toxicity will occur. Tomatoes from a local grocery store have a pH of 4.2. What is the hydrogen ion concentration for the tomatoes from this store?

Accepted Answer

A)  -4.20e+01 
B)  6.31e-05 
C)  4.20e+00 
D)  1.58e+04 
E)  1.50e-02 
A)  -4.20e+01 
B)  6.31e-05 
C)  4.20e+00 
D)  1.58e+04 
E)  1.50e-02

Question 9

Find   .

Accepted Answer

A)  6 
B)  8 
C)  262144 
D)  48 
E)  1 
A)  6 
B)  8 
C)  262144 
D)  48 
E)  1

Question 10

The graphs of two functions   and   are given below. Using the graphs, determine   .

Accepted Answer

A)  2 
B)  4.8 
C)  7.6 
D)  15.2 
E)  -1.6 
A)  2 
B)  4.8 
C)  7.6 
D)  15.2 
E)  -1.6

Question 11

The value of   is 13.05.

Accepted Answer

A) True 
 B)False

Question 12

Fill in the blank.
A magnitude 8 earthquake is _________ times more intense than a magnitude 3 earthquake.

Accepted Answer

A)  100000 
B)  0.00001 
C)  10000 
D)  1000 
E)  5 
A)  100000 
B)  0.00001 
C)  10000 
D)  1000 
E)  5

Question 13

The initial size of a population is 2700 and it has an instantaneous decay rate of 30% per year. Which one of the following exponential functions model this population where   is measured in years?

Accepted Answer

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

Question 14

Find   .

Accepted Answer

A)    
B)  -8 
C)    
D)  390625 
E)  8 
A)    
B)  -8 
C)    
D)  390625 
E)  8

Question 15

Solve the exponential equation   for   . Round to the nearest thousandth.

Accepted Answer

A)  0.217 
B)  4.605 
C)  273,252.194 
D)  2.718 
E)  2.000 
A)  0.217 
B)  4.605 
C)  273,252.194 
D)  2.718 
E)  2.000

Question 16

Find the logarithm of   .

Accepted Answer

A)  2 
B)    
C)  100 
D)  8 
E)  10 
A)  2 
B)    
C)  100 
D)  8 
E)  10

Question 17

Which one of the following is the correct combination of the logarithm   in simplified form?

Accepted Answer

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

Question 18

Jennifer invests $5,100 in a saving certificate with an interest rate of 4.25% per year, compounded monthly. How long will it take for her investment to grow to $13,000? Round to the nearest tenth.

Accepted Answer

A)  1.9 years 
B)  4.3 years 
C)  215.6 years 
D)  22.1 years 
E)  211.5 years 
A)  1.9 years 
B)  4.3 years 
C)  215.6 years 
D)  22.1 years 
E)  211.5 years

Question 19

If $49,000 is invested at an interest rate of 2.5% per year, find the amount of the investment at the end of 20 years if the money is compounded monthly. Round to the nearest hundredth.

Accepted Answer

A)  $50,239.13 
B)  $49,000 
C)  $80,292.21 
D)  $80,745.33 
E)  $51,082.58 
A)  $50,239.13 
B)  $49,000 
C)  $80,292.21 
D)  $80,745.33 
E)  $51,082.58

Question 20

Use the Laws of Exponents to expand the expression   .

Accepted Answer

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

The graph of a logarithmic function is shown below. Find the base .

The value of is .

Solve the logarithmic equation for . Round to the nearest thousandth.

Which one of the following exponential equations is equivalent to ?

On August 21, 2009, the World Health Organization announced its prediction that the number of new cases of H1N1 (swine flu) virus would double every 3 days for several months. Determine the daily growth factor for the H1N1 virus (rounded to the nearest thousandths).

Solve the exponential equation for . Round to the nearest thousandth.

The pH of tomatoes is normally in the range of 4.1-4.4. If the pH of tomatoes is too high, nutrient deficiencies and toxicity will occur. Tomatoes from a local grocery store have a pH of 4.2. What is the hydrogen ion concentration for the tomatoes from this store?

Find .

The graphs of two functions and are given below. Using the graphs, determine .

The value of is 13.05.

Fill in the blank. A magnitude 8 earthquake is _________ times more intense than a magnitude 3 earthquake.

The initial size of a population is 2700 and it has an instantaneous decay rate of 30% per year. Which one of the following exponential functions model this population where is measured in years?

Find .

Solve the exponential equation for . Round to the nearest thousandth.

Find the logarithm of .

Which one of the following is the correct combination of the logarithm in simplified form?

Jennifer invests $5,100 in a saving certificate with an interest rate of 4.25% per year, compounded monthly. How long will it take for her investment to grow to $13,000? Round to the nearest tenth.

If $49,000 is invested at an interest rate of 2.5% per year, find the amount of the investment at the end of 20 years if the money is compounded monthly. Round to the nearest hundredth.

Use the Laws of Exponents to expand the expression .

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Exam 4: Logarithmic Functions and Exponential Modela

The graph of a logarithmic function is shown below. Find the base .

The value of is .

Solve the logarithmic equation for . Round to the nearest thousandth.

Which one of the following exponential equations is equivalent to ?

On August 21, 2009, the World Health Organization announced its prediction that the number of new cases of H1N1 (swine flu) virus would double every 3 days for several months. Determine the daily growth factor for the H1N1 virus (rounded to the nearest thousandths).

Solve the exponential equation for . Round to the nearest thousandth.

The pH of tomatoes is normally in the range of 4.1-4.4. If the pH of tomatoes is too high, nutrient deficiencies and toxicity will occur. Tomatoes from a local grocery store have a pH of 4.2. What is the hydrogen ion concentration for the tomatoes from this store?

Find .

The graphs of two functions and are given below. Using the graphs, determine .

The value of is 13.05.

Fill in the blank. A magnitude 8 earthquake is _________ times more intense than a magnitude 3 earthquake.

The initial size of a population is 2700 and it has an instantaneous decay rate of 30% per year. Which one of the following exponential functions model this population where is measured in years?

Find .

Solve the exponential equation for . Round to the nearest thousandth.

Find the logarithm of .

Which one of the following is the correct combination of the logarithm in simplified form?

Jennifer invests $5,100 in a saving certificate with an interest rate of 4.25% per year, compounded monthly. How long will it take for her investment to grow to $13,000? Round to the nearest tenth.

If $49,000 is invested at an interest rate of 2.5% per year, find the amount of the investment at the end of 20 years if the money is compounded monthly. Round to the nearest hundredth.

Use the Laws of Exponents to expand the expression .

Data, Functions, and Models

Linear Functions and Models

Exponential Functions and Models

Quadratic Functions and Models

Power, Polynomial, and Rational Functions

Systems of Equations and Data in Categories

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