Question 1

The inverse of   is ​

Accepted Answer

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

Question 2

The magnitude of a star is a measure of its brightness, and it is related to the relative intensity of light reaching Earth from the star.The relationship is Magnitude   (Relative intensity).
If relative intensity is multiplied by 100, how is magnitude affected?
​

Accepted Answer

A)  Magnitude is decreased by 2. 
B)  Magnitude is increased by 5. 
C)  Magnitude is increased by 2. 
D)  Magnitude is decreased by 5. 
A)  Magnitude is decreased by 2. 
B)  Magnitude is increased by 5. 
C)  Magnitude is increased by 2. 
D)  Magnitude is decreased by 5.

Question 3

The magnitude of a star is a measure of its brightness, and it is related to the relative intensity of light reaching Earth from the star.The relationship is Magnitude   Relative intensity).
If relative intensity is divided by 100, how is magnitude affected?
​

Accepted Answer

A)  Magnitude is decreased by 2. 
B)  Magnitude is increased by 5. 
C)  Magnitude is increased by 2. 
D)  Magnitude is decreased by 5. 
A)  Magnitude is decreased by 2. 
B)  Magnitude is increased by 5. 
C)  Magnitude is increased by 2. 
D)  Magnitude is decreased by 5.

Question 4

The magnitude scale for brightness of stars is a logarithmic scale.

Accepted Answer

A) True 
 B)False

Question 5

If   is 3.51, then the value of   is ​

Accepted Answer

A)  10.53 
B)  10.97 
C)  6.51 
D)  7.18 
A)  10.53 
B)  10.97 
C)  6.51 
D)  7.18

Question 6

The logarithm function is always less than 100.

Accepted Answer

A) True 
 B)False

Question 7

The graph of   is ​

Accepted Answer

A)  ​   
B)  ​   
C)  ​   
D)  ​   
A)  ​   
B)  ​   
C)  ​   
D)  ​

Question 8

Multiplying x by   adds t to   .

Accepted Answer

A) True 
 B)False

Question 9

If   is 7.01, then the value of   is (rounded to two decimal places if necessary) ​

Accepted Answer

A)  20.75 
B)  9.97 
C)  21.43 
D)  10.14 
A)  20.75 
B)  9.97 
C)  21.43 
D)  10.14

Question 10

The inverse of   is ​

Accepted Answer

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

Question 11

The graph of the logarithm is ​

Accepted Answer

A)  Decreasing and concave down. 
B)  Decreasing and concave up. 
C)  Increasing and concave up. 
D)  Increasing and concave down. 
A)  Decreasing and concave down. 
B)  Decreasing and concave up. 
C)  Increasing and concave up. 
D)  Increasing and concave down.

Question 12

The magnitude M of an earthquake depends on the relative intensity I of the quake.The relationship is   . ​
Express the relative intensity as a function of the magnitude.
​

Accepted Answer

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

Question 13

The magnitude of earthquake 1 is 4.5, and the magnitude of earthquake 2 is 6.5.How do their intensities compare? ​

Accepted Answer

A)  Earthquake 1 is 100 times as intense as earthquake 2. 
B)  Earthquake 1 is 2 times as intense as earthquake 2. 
C)  Earthquake 2 is 2 times as intense as earthquake 1. 
D)  Earthquake 2 is 100 times as intense as earthquake 1. 
A)  Earthquake 1 is 100 times as intense as earthquake 2. 
B)  Earthquake 1 is 2 times as intense as earthquake 2. 
C)  Earthquake 2 is 2 times as intense as earthquake 1. 
D)  Earthquake 2 is 100 times as intense as earthquake 1.

Question 14

If   is 8.45, then the value of   is ​

Accepted Answer

A)  0.24 
B)  6.45 
C)  0.44 
D)  7.01 
A)  0.24 
B)  6.45 
C)  0.44 
D)  7.01

Question 15

The graph of the logarithm is concave down.

Accepted Answer

A) True 
 B)False

Question 16

The magnitude of earthquake 1 is 4.7, and the magnitude of earthquake 2 is 8.How do their intensities compare? ​

Accepted Answer

A)  Earthquake 1 is 1,995.26 times as intense as earthquake 2. 
B)  Earthquake 1 is 3.3 times as intense as earthquake 2. 
C)  Earthquake 2 is 3.3 times as intense as earthquake 1. 
D)  Earthquake 2 is 1,995.26 times as intense as earthquake 1. 
A)  Earthquake 1 is 1,995.26 times as intense as earthquake 2. 
B)  Earthquake 1 is 3.3 times as intense as earthquake 2. 
C)  Earthquake 2 is 3.3 times as intense as earthquake 1. 
D)  Earthquake 2 is 1,995.26 times as intense as earthquake 1.

Question 17

The decibel, a measure of loudness, is related to the relative intensity of sound by the formula Decibels   Relative intensity).
If relative intensity is multiplied by 104.71, how are decibels affected?
​

Accepted Answer

A)  Decibels are increased by 20.2. 
B)  Decibels are decreased by 2.02. 
C)  Decibels are increased by 2.02. 
D)  Decibels are decreased by 20.2. 
A)  Decibels are increased by 20.2. 
B)  Decibels are decreased by 2.02. 
C)  Decibels are increased by 2.02. 
D)  Decibels are decreased by 20.2.

Question 18

We use ln to denote the natural logarithm.What is the value of   ? ​

Accepted Answer

A)  5.92 
B)  2.57 
C)  372.41 
D)  2.65 
A)  5.92 
B)  2.57 
C)  372.41 
D)  2.65

Question 19

The decibel, a measure of loudness, is related to the relative intensity of sound by the formula Decibels   (Relative intensity).
If relative intensity is multiplied by 1,000, how are decibels affected?
​

Accepted Answer

A)  Decibels are increased by 3. 
B)  Decibels are decreased by 3. 
C)  Decibels are increased by 30. 
D)  Decibels are decreased by 30. 
A)  Decibels are increased by 3. 
B)  Decibels are decreased by 3. 
C)  Decibels are increased by 30. 
D)  Decibels are decreased by 30.

Question 20

The decibel, a measure of loudness, is related to the relative intensity of sound by the formula Decibels   (Relative intensity).
If relative intensity is divided by 1,000, how are decibels affected?
​

Accepted Answer

A)  Decibels are increased by 3. 
B)  Decibels are decreased by 3. 
C)  Decibels are increased by 30. 
D)  Decibels are decreased by 30. 
A)  Decibels are increased by 3. 
B)  Decibels are decreased by 3. 
C)  Decibels are increased by 30. 
D)  Decibels are decreased by 30.

Exam 20: Logarithmic Functions

The inverse of is ​

The magnitude of a star is a measure of its brightness, and it is related to the relative intensity of light reaching Earth from the star.The relationship is Magnitude (Relative intensity). If relative intensity is multiplied by 100, how is magnitude affected? ​

The magnitude of a star is a measure of its brightness, and it is related to the relative intensity of light reaching Earth from the star.The relationship is Magnitude Relative intensity). If relative intensity is divided by 100, how is magnitude affected? ​

The magnitude scale for brightness of stars is a logarithmic scale.

If is 3.51, then the value of is ​

The logarithm function is always less than 100.

The graph of is ​

Multiplying x by adds t to .

If is 7.01, then the value of is (rounded to two decimal places if necessary) ​

The inverse of is ​

The graph of the logarithm is ​

The magnitude M of an earthquake depends on the relative intensity I of the quake.The relationship is . ​ Express the relative intensity as a function of the magnitude. ​

The magnitude of earthquake 1 is 4.5, and the magnitude of earthquake 2 is 6.5.How do their intensities compare? ​

If is 8.45, then the value of is ​

The graph of the logarithm is concave down.

The magnitude of earthquake 1 is 4.7, and the magnitude of earthquake 2 is 8.How do their intensities compare? ​

The decibel, a measure of loudness, is related to the relative intensity of sound by the formula Decibels Relative intensity). If relative intensity is multiplied by 104.71, how are decibels affected? ​

We use ln to denote the natural logarithm.What is the value of ? ​

The decibel, a measure of loudness, is related to the relative intensity of sound by the formula Decibels (Relative intensity). If relative intensity is multiplied by 1,000, how are decibels affected? ​

The decibel, a measure of loudness, is related to the relative intensity of sound by the formula Decibels (Relative intensity). If relative intensity is divided by 1,000, how are decibels affected? ​

Functions Given by Formulas

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Table and Trends

Graphs

Solving Linear Equations

Solving Nonlinear Equations

Inequalities

Optimization

The Geometry of Lines

Linear Functions

Modeling Data with Linear Functions

Linear Regression

Systems of Equations

Exponential Growth and Decay

Constant Percentage Change

Modeling Exponential Data

Modeling Nearly Exponential Data

Logistic Functions

Power Functions

Modeling Data with Power Functions

Combining and Decomposing Functions

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Higher Degree Polynomials and Rational Functions

Velocity

Rates of Change for Other Functions

Estimating Rates of Change

Equations of Change Linear and Exponential Functions

Equations of Change Graphical Solutions

Filters

The inverse of is

The magnitude of a star is a measure of its brightness, and it is related to the relative intensity of light reaching Earth from the star.The relationship is Magnitude (Relative intensity). If relative intensity is multiplied by 100, how is magnitude affected?

The magnitude of a star is a measure of its brightness, and it is related to the relative intensity of light reaching Earth from the star.The relationship is Magnitude Relative intensity). If relative intensity is divided by 100, how is magnitude affected?

If is 3.51, then the value of is

The graph of is

If is 7.01, then the value of is (rounded to two decimal places if necessary)

The inverse of is

The graph of the logarithm is

The magnitude M of an earthquake depends on the relative intensity I of the quake.The relationship is . Express the relative intensity as a function of the magnitude.

The magnitude of earthquake 1 is 4.5, and the magnitude of earthquake 2 is 6.5.How do their intensities compare?

If is 8.45, then the value of is

The magnitude of earthquake 1 is 4.7, and the magnitude of earthquake 2 is 8.How do their intensities compare?

The decibel, a measure of loudness, is related to the relative intensity of sound by the formula Decibels Relative intensity). If relative intensity is multiplied by 104.71, how are decibels affected?

We use ln to denote the natural logarithm.What is the value of ?

The decibel, a measure of loudness, is related to the relative intensity of sound by the formula Decibels (Relative intensity). If relative intensity is multiplied by 1,000, how are decibels affected?

The decibel, a measure of loudness, is related to the relative intensity of sound by the formula Decibels (Relative intensity). If relative intensity is divided by 1,000, how are decibels affected?