Question 1

Select the graph of the function. ​   ​

Accepted Answer

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

Question 2

Condense the expression to the logarithm of a single quantity. ​
Log x - 3log(x + 1)
​

Accepted Answer

A) 3log(x(x + 1)) 
B)    
C)    
D) log(x(x + 1)3) 
E)    
A) 3log(x(x + 1)) 
B)    
C)    
D) log(x(x + 1)3) 
E)

Question 3

Write the exponential equation in logarithmic form. ​   ​

Accepted Answer

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

Question 4

Solve the logarithmic equation algebraically.Approximate the result to three decimal places. ​   ​

Accepted Answer

A) 8 
B) 6 
C) -1 
D) 7 
E) 9 
A) 8 
B) 6 
C) -1 
D) 7 
E) 9

Question 5

Solve the equation   for x using the One-to-One Property.

Accepted Answer

A) -101 
B) -1 
C) The equation has no solution. 
D) -99 
E) 101 
A) -101 
B) -1 
C) The equation has no solution. 
D) -99 
E) 101

Question 6

Condense the expression to the logarithm of a single quantity. ​   ​

Accepted Answer

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

Question 7

Evaluate the function at the indicated value of   .Round your result to three decimal places. ​   ​

Accepted Answer

A) 3.175 
B) -2.076 
C) -3.175 
D) 2.076 
E) 23.92 
A) 3.175 
B) -2.076 
C) -3.175 
D) 2.076 
E) 23.92

Question 8

Graph the function using translations. ​   ​

Accepted Answer

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

Question 9

Evaluate the function at the indicated value of   .Round your result to three decimal places. ​​
Function
Value     ​

Accepted Answer

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

Question 10

Write the exponential equation in logarithmic form. ​   ​

Accepted Answer

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

Question 11

An initial investment of $4000 grows at an annual interest rate of 5% compounded continuously.How long will it take to double the investment?

Accepted Answer

A) 1 year 
B) 14.40 years 
C) 13.86 years 
D) 14.86 years 
E) 13.40 years 
A) 1 year 
B) 14.40 years 
C) 13.86 years 
D) 14.86 years 
E) 13.40 years

Question 12

Evaluate the logarithm using the change-of-base formula.Round your result to three decimal places.
​   ​

Accepted Answer

A) -0.631 
B) 2.369 
C) 0.369 
D) -1.631 
E) 1.369 
A) -0.631 
B) 2.369 
C) 0.369 
D) -1.631 
E) 1.369

Question 13

Sketch the graph of the function. ​   ​

Accepted Answer

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

Question 14

Find the magnitude R of an earthquake of intensity   . ​   ​

Accepted Answer

A) 3.20 
B) 5.20 
C) 4.20 
D) 2.20 
E) 6.20 
A) 3.20 
B) 5.20 
C) 4.20 
D) 2.20 
E) 6.20

Question 15

Use the properties of logarithms to rewrite and simplify the logarithmic expression. ​
Log2 (42 · 74)
​

Accepted Answer

A) 4 + 9 log2 4 
B) 9 + 4 log2 4 
C) 2 + 2 log2 7 
D) 4 + 4 log2 7 
E) 2 + 4 log2 7 
A) 4 + 9 log2 4 
B) 9 + 4 log2 4 
C) 2 + 2 log2 7 
D) 4 + 4 log2 7 
E) 2 + 4 log2 7

Question 16

Evaluate the function at the indicated value of   . ​   ​

Accepted Answer

A)    
B)    
C) -8 
D) 0 
E) 8 
A)    
B)    
C) -8 
D) 0 
E) 8

Question 17

Use the One-to-One Property to solve the following equation for x.

Accepted Answer

A)    
B)    
C)    
D)    
E) 2 
A)    
B)    
C)    
D)    
E) 2

Question 18

Find the value of b that would cause the graph of y = bx to look like the graph below. ​   ​

Accepted Answer

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

Question 19

Write the logarithmic equation   in exponential form.

Accepted Answer

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

Question 20

Rewrite the exponential equation   in logarithmic form.

Accepted Answer

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

Select the graph of the function.

Condense the expression to the logarithm of a single quantity. Log x - 3log(x + 1)

Write the exponential equation in logarithmic form.

Solve the logarithmic equation algebraically.Approximate the result to three decimal places.

Solve the equation for x using the One-to-One Property.

Condense the expression to the logarithm of a single quantity.

Evaluate the function at the indicated value of .Round your result to three decimal places.

Graph the function using translations.

Evaluate the function at the indicated value of .Round your result to three decimal places. Function Value

Write the exponential equation in logarithmic form.

An initial investment of $4000 grows at an annual interest rate of 5% compounded continuously.How long will it take to double the investment?

Evaluate the logarithm using the change-of-base formula.Round your result to three decimal places.

Sketch the graph of the function.

Find the magnitude R of an earthquake of intensity .

Use the properties of logarithms to rewrite and simplify the logarithmic expression. Log₂ (4² · 7⁴⁾

Evaluate the function at the indicated value of .

Use the One-to-One Property to solve the following equation for x.

Find the value of b that would cause the graph of y = b^x to look like the graph below.

Write the logarithmic equation in exponential form.

Rewrite the exponential equation in logarithmic form.

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Topics-In-Analytic-Geometry

Prerequisites

Filters

Exam 5: Exponential-And-Logarithmic-Functions

Select the graph of the function. ​ ​

Condense the expression to the logarithm of a single quantity. ​ Log x - 3log(x + 1) ​

Write the exponential equation in logarithmic form. ​ ​

Solve the logarithmic equation algebraically.Approximate the result to three decimal places. ​ ​

Solve the equation for x using the One-to-One Property.

Condense the expression to the logarithm of a single quantity. ​ ​

Evaluate the function at the indicated value of .Round your result to three decimal places. ​ ​

Graph the function using translations. ​ ​

Evaluate the function at the indicated value of .Round your result to three decimal places. ​​ Function Value ​

Write the exponential equation in logarithmic form. ​ ​

An initial investment of $4000 grows at an annual interest rate of 5% compounded continuously.How long will it take to double the investment?

Evaluate the logarithm using the change-of-base formula.Round your result to three decimal places. ​ ​

Sketch the graph of the function. ​ ​

Find the magnitude R of an earthquake of intensity . ​ ​

Use the properties of logarithms to rewrite and simplify the logarithmic expression. ​ Log2 (42 · 74) ​

Evaluate the function at the indicated value of . ​ ​

Use the One-to-One Property to solve the following equation for x.

Find the value of b that would cause the graph of y = bx to look like the graph below. ​ ​

Write the logarithmic equation in exponential form.

Rewrite the exponential equation in logarithmic form.

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Topics-In-Analytic-Geometry

Prerequisites

Filters

Select the graph of the function.

Condense the expression to the logarithm of a single quantity. Log x - 3log(x + 1)

Write the exponential equation in logarithmic form.

Solve the logarithmic equation algebraically.Approximate the result to three decimal places.

Condense the expression to the logarithm of a single quantity.

Evaluate the function at the indicated value of .Round your result to three decimal places.

Graph the function using translations.

Evaluate the function at the indicated value of .Round your result to three decimal places. Function Value

Write the exponential equation in logarithmic form.

Evaluate the logarithm using the change-of-base formula.Round your result to three decimal places.

Sketch the graph of the function.

Find the magnitude R of an earthquake of intensity .

Use the properties of logarithms to rewrite and simplify the logarithmic expression. Log₂ (4² · 7⁴⁾

Evaluate the function at the indicated value of .

Find the value of b that would cause the graph of y = b^x to look like the graph below.