Question 1

Write the exponential equation   in logarithmic form.

Accepted Answer

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

Question 2

Use the functions given by   and   to find the value

Accepted Answer

A)  32 
B)  35 
C)  33 
D)  37 
E)  30 
A)  32 
B)  35 
C)  33 
D)  37 
E)  30

Question 3

Show that   and   are functions by using the definition of inverse functions.

Accepted Answer

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D)    
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E)

Question 4

You deposit a lump sum   in a trust fund on the day your child is born.The fund earns 6.5% interest compounded continuously.Find the amount   that will yield the given balance   on your child's 25th birthday.

Accepted Answer

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

Question 5

Write the logarithmic equation   in its exponential form.

Accepted Answer

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

Question 6

Write the expression below as a single logarithm with a coefficient of 1.Assume all variable expressions represent positive real numbers.

Accepted Answer

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E)

Question 7

Use the functions given by   and   to find the value

Accepted Answer

A)  16 
B)  -16 
C)  32 
D)  The value does not exist. 
E)  -32 
A)  16 
B)  -16 
C)  32 
D)  The value does not exist. 
E)  -32

Question 8

Evaluate the logarithm   using the change of base formula.Round to 3 decimal places.

Accepted Answer

A)  6.303 
B)  0.309 
C)  3.239 
D)  12.264 
E)  2.737 
A)  6.303 
B)  0.309 
C)  3.239 
D)  12.264 
E)  2.737

Question 9

The demand function for a home theater system is given by   
a)Find the price p for a demand of x=200 units.
b)Find the price p for a demand of x=900 units.
c)Use a graphing utility to graph the demand function.
d)Use the graph from part (c) to approximate the demand when the price is $400.

Accepted Answer

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

Question 10

Show that   and   are functions by using the definition of inverse functions.

Accepted Answer

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

Question 11

Use a calculator to evaluate the function   for the given value of   ,   Round your result to three decimal places.

Accepted Answer

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

Question 12

Use algebraic procedures to find the exact solution(s) of the equation below.

Accepted Answer

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

Write the exponential equation in logarithmic form.

Use the functions given by and to find the value

Show that and are functions by using the definition of inverse functions.

You deposit a lump sum in a trust fund on the day your child is born.The fund earns 6.5% interest compounded continuously.Find the amount that will yield the given balance on your child's 25th birthday.

Write the logarithmic equation in its exponential form.

Write the expression below as a single logarithm with a coefficient of 1.Assume all variable expressions represent positive real numbers.

Use the functions given by and to find the value

Evaluate the logarithm using the change of base formula.Round to 3 decimal places.

The demand function for a home theater system is given by a)Find the price p for a demand of x=200 units. b)Find the price p for a demand of x=900 units. c)Use a graphing utility to graph the demand function. d)Use the graph from part (c) to approximate the demand when the price is $400.

Show that and are functions by using the definition of inverse functions.

Use a calculator to evaluate the function for the given value of , Round your result to three decimal places.

Use algebraic procedures to find the exact solution(s) of the equation below.

Fundamental Concepts of Algebra

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Systems of Equations and Inequalities

Matrices and Determinants

Sequences, Series, and Probability

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Exam 4: Exponential and Logarithmic Functions

Write the exponential equation in logarithmic form.

Use the functions given by and to find the value

Show that and are functions by using the definition of inverse functions.

You deposit a lump sum in a trust fund on the day your child is born.The fund earns 6.5% interest compounded continuously.Find the amount that will yield the given balance on your child's 25th birthday.

Write the logarithmic equation in its exponential form.

Write the expression below as a single logarithm with a coefficient of 1.Assume all variable expressions represent positive real numbers.

Use the functions given by and to find the value

Evaluate the logarithm using the change of base formula.Round to 3 decimal places.

The demand function for a home theater system is given by a)Find the price p for a demand of x=200 units. b)Find the price p for a demand of x=900 units. c)Use a graphing utility to graph the demand function. d)Use the graph from part (c) to approximate the demand when the price is $400.

Show that and are functions by using the definition of inverse functions.

Use a calculator to evaluate the function for the given value of , Round your result to three decimal places.

Use algebraic procedures to find the exact solution(s) of the equation below.

Fundamental Concepts of Algebra

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Systems of Equations and Inequalities

Matrices and Determinants

Sequences, Series, and Probability

Filters