Question 1

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

Accepted Answer

A)  1.100 
B)  1.230 
C)  1.705 
D)  0.813 
E)  1.375 
A)  1.100 
B)  1.230 
C)  1.705 
D)  0.813 
E)  1.375

Question 2

Find the common logarithm of the given value, rounded to the nearest thousandth, of:
The weight of an African Grey parrot: 380 grams.

Accepted Answer

A)  5.940 
B)  380 
C)  3.8 
D)  10 
E)  2.580 
A)  5.940 
B)  380 
C)  3.8 
D)  10 
E)  2.580

Question 3

Using the definition of the logarithmic function, solve   .

Accepted Answer

A)  0.0001 
B)  -4 
C)  10 
D)  1048576 
E)  4 
A)  0.0001 
B)  -4 
C)  10 
D)  1048576 
E)  4

Question 4

Solve the logarithmic equation   for   .

Accepted Answer

A)  5 
B)  -5 
C)  5.0 
D)  No solution 
E)  0 
A)  5 
B)  -5 
C)  5.0 
D)  No solution 
E)  0

Question 5

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

Accepted Answer

A)  0.24 
B)  0.15 
C)  4.25 
D)  0.29 
E)  0.31 
A)  0.24 
B)  0.15 
C)  4.25 
D)  0.29 
E)  0.31

Question 6

Find   .

Accepted Answer

A)  4 
B)    
C)  1 
D)  10 
E)  0 
A)  4 
B)    
C)  1 
D)  10 
E)  0

Question 7

Which one of the following is the correct expansion of the logarithm expression   ?

Accepted Answer

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

Question 8

Using the graph below, determine which one of the following exponential functions models the graph.

Accepted Answer

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

Question 9

If $18,000 is invested at an interest rate of 4.5% compounded continuously, what is the amount of the investment after 10 years? Rounded to the nearest hundredth.

Accepted Answer

A)  $38,626.59 
B)  $38,040.78 
C)  $38,681.90 
D)  $18,000 
E)  $18,828.50 
A)  $38,626.59 
B)  $38,040.78 
C)  $38,681.90 
D)  $18,000 
E)  $18,828.50

Question 10

Which one of the following is the correct expansion of the logarithm expression   ?

Accepted Answer

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

Question 11

Use the Change of Base Formula to evaluate the logarithm   . Round to the nearest ten-thousandth.

Accepted Answer

A)  0.5600 
B)  1.6128 
C)  1.7859 
D)  0.2016 
E)  5.1250 
A)  0.5600 
B)  1.6128 
C)  1.7859 
D)  0.2016 
E)  5.1250

Question 12

Two functions and are given by the tables below. Determine .

Accepted Answer

A)  5 
B)  3 
C)  4 
D)  1 
E)  2 
A)  5 
B)  3 
C)  4 
D)  1 
E)  2

Question 13

Which one of the following is the correct expansion of the logarithm expression   ?

Accepted Answer

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

Question 14

If we know the amount of light that is absorbed in a solution, we can calculate the concentration of the substance dissolved in water using a spectrophotometer. For a certain substance the concentration (in moles/liter) is given by the formula   , where   is the intensity of the incident light and   is the intensity of light that emerges. What is the concentration of the substance if the intensity   is 45% of   ?

Accepted Answer

A)  952 mol/L 
B)  -3,667 mol/L 
C)  2,928 mol/L 
D)  2,192 mol/L 
E)  1,272 mol/L 
A)  952 mol/L 
B)  -3,667 mol/L 
C)  2,928 mol/L 
D)  2,192 mol/L 
E)  1,272 mol/L

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

Find the common logarithm of the given value, rounded to the nearest thousandth, of: The weight of an African Grey parrot: 380 grams.

Using the definition of the logarithmic function, solve .

Solve the logarithmic equation for .

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

Find .

Which one of the following is the correct expansion of the logarithm expression ?

Using the graph below, determine which one of the following exponential functions models the graph.

If $18,000 is invested at an interest rate of 4.5% compounded continuously, what is the amount of the investment after 10 years? Rounded to the nearest hundredth.

Which one of the following is the correct expansion of the logarithm expression ?

Use the Change of Base Formula to evaluate the logarithm . Round to the nearest ten-thousandth.

Two functions and are given by the tables below. Determine .

Which one of the following is the correct expansion of the logarithm expression ?

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Exam 4: Logarithmic Functions and Exponential Modela

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

Find the common logarithm of the given value, rounded to the nearest thousandth, of: The weight of an African Grey parrot: 380 grams.

Using the definition of the logarithmic function, solve .

Solve the logarithmic equation for .

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

Find .

Which one of the following is the correct expansion of the logarithm expression ?

Using the graph below, determine which one of the following exponential functions models the graph.

If $18,000 is invested at an interest rate of 4.5% compounded continuously, what is the amount of the investment after 10 years? Rounded to the nearest hundredth.

Which one of the following is the correct expansion of the logarithm expression ?

Use the Change of Base Formula to evaluate the logarithm . Round to the nearest ten-thousandth.

Two functions and are given by the tables below. Determine .

Which one of the following is the correct expansion of the logarithm 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

Filters