Question 1

Use a graphing utility to graph the functions given by ​
Y1 = ln x - ln (x - 4)
​
And
​   ​
In the same viewing window.
​

Accepted Answer

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

Question 2

Select the correct graph for the given function ​   ​

Accepted Answer

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

Question 3

Simplify the expression   .

Accepted Answer

A) 3 
B) 0 
C) -9 
D) -81 
E) The expression cannot be simplified. 
A) 3 
B) 0 
C) -9 
D) -81 
E) The expression cannot be simplified.

Question 4

Rewrite the logarithm as a ratio of common logarithms. ​
Log2.7 x
​

Accepted Answer

A)    
B) ​   
C)    
D)    
E) None of these 
A)    
B) ​   
C)    
D)    
E) None of these

Question 5

Graph the exponential function. ​   ​

Accepted Answer

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

Question 6

Evaluate the logarithm log1/3 0.603 using the change of base formula.Round to 3 decimal places.

Accepted Answer

A) 2.172 
B) 0.556 
C) -0.506 
D) -0.22 
E) 0.46 
A) 2.172 
B) 0.556 
C) -0.506 
D) -0.22 
E) 0.46

Question 7

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

Accepted Answer

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

Question 8

Evaluate   at the indicated value of x. ​   ​

Accepted Answer

A) 9 
B)    
C) -9 
D)    
E)    
A) 9 
B)    
C) -9 
D)    
E)

Question 9

Evaluate the logarithm log7 126 using the change of base formula.Round to 3 decimal places.

Accepted Answer

A) 4.836 
B) 2.485 
C) 0.402 
D) 9.411 
E) 2.1 
A) 4.836 
B) 2.485 
C) 0.402 
D) 9.411 
E) 2.1

Question 10

Find the graph of the function. ​   ​

Accepted Answer

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

Question 11

Condense the expression log4 x + log4 3 to the logarithm of a single term.

Accepted Answer

A) log4 (x + 3) 
B) log4 3x 
C) log4 x3 
D) log(3x)4 
A) log4 (x + 3) 
B) log4 3x 
C) log4 x3 
D) log(3x)4

Question 12

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

Accepted Answer

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

Question 13

Evaluate the function at the indicated value of   . ​
​   ​

Accepted Answer

A)    
B) -5 
C)    
D) 0 
E) 5 
A)    
B) -5 
C)    
D) 0 
E) 5

Question 14

Rewrite the logarithmic equation   in exponential form.

Accepted Answer

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

Question 15

Select the graph of the function. ​   ​

Accepted Answer

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

Question 16

Use the properties of logarithms to rewrite and simplify the logarithmic expression. ​   ​

Accepted Answer

A) ln 2 
B) ln 5 
C) ln 2 - 3 
D) ln 3 - 2 
E) ln 3 
A) ln 2 
B) ln 5 
C) ln 2 - 3 
D) ln 3 - 2 
E) ln 3

Question 17

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

Accepted Answer

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

Question 18

Find the exact value of   without using a calculator.

Accepted Answer

A) 5 
B) 2.5 
C) 1.25 
D) 2 
E) 3 
A) 5 
B) 2.5 
C) 1.25 
D) 2 
E) 3

Question 19

Find the value of x. ​   ​

Accepted Answer

A) x = 625 
B) x = 313 
C) x = 5 
D) x = 4 
A) x = 625 
B) x = 313 
C) x = 5 
D) x = 4

Question 20

Determine the principal that must be invested at rate r, compounded monthly, so that   will be available for retirement in t years. ​   ​

Accepted Answer

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

Use a graphing utility to graph the functions given by Y₁ = ln x - ln (x - 4) And In the same viewing window.

Select the correct graph for the given function

Simplify the expression .

Rewrite the logarithm as a ratio of common logarithms. Log_2.7 x

Graph the exponential function.

Evaluate the logarithm log_1/3 0.603 using the change of base formula.Round to 3 decimal places.

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

Evaluate at the indicated value of x.

Evaluate the logarithm log₇ 126 using the change of base formula.Round to 3 decimal places.

Find the graph of the function.

Condense the expression log₄ x + log₄ 3 to the logarithm of a single term.

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

Evaluate the function at the indicated value of .

Rewrite the logarithmic equation in exponential form.

Select the graph of the function.

Use the properties of logarithms to rewrite and simplify the logarithmic expression.

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

Find the exact value of without using a calculator.

Find the value of x.

Determine the principal that must be invested at rate r, compounded monthly, so that will be available for retirement in t years.

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Topics-In-Analytic-Geometry

Prerequisites

Filters

Exam 5: Exponential-And-Logarithmic-Functions

Use a graphing utility to graph the functions given by ​ Y1 = ln x - ln (x - 4) ​ And ​ ​ In the same viewing window. ​

Select the correct graph for the given function ​ ​

Simplify the expression .

Rewrite the logarithm as a ratio of common logarithms. ​ Log2.7 x ​

Graph the exponential function. ​ ​

Evaluate the logarithm log1/3 0.603 using the change of base formula.Round to 3 decimal places.

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

Evaluate at the indicated value of x. ​ ​

Evaluate the logarithm log7 126 using the change of base formula.Round to 3 decimal places.

Find the graph of the function. ​ ​

Condense the expression log4 x + log4 3 to the logarithm of a single term.

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

Evaluate the function at the indicated value of . ​ ​ ​

Rewrite the logarithmic equation in exponential form.

Select the graph of the function. ​ ​

Use the properties of logarithms to rewrite and simplify the logarithmic expression. ​ ​

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

Find the exact value of without using a calculator.

Find the value of x. ​ ​

Determine the principal that must be invested at rate r, compounded monthly, so that will be available for retirement in t years. ​ ​

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Topics-In-Analytic-Geometry

Prerequisites

Filters

Use a graphing utility to graph the functions given by Y₁ = ln x - ln (x - 4) And In the same viewing window.

Select the correct graph for the given function

Rewrite the logarithm as a ratio of common logarithms. Log_2.7 x

Graph the exponential function.

Evaluate the logarithm log_1/3 0.603 using the change of base formula.Round to 3 decimal places.

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

Evaluate at the indicated value of x.

Evaluate the logarithm log₇ 126 using the change of base formula.Round to 3 decimal places.

Find the graph of the function.

Condense the expression log₄ x + log₄ 3 to the logarithm of a single term.

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

Evaluate the function at the indicated value of .

Select the graph of the function.

Use the properties of logarithms to rewrite and simplify the logarithmic expression.

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

Find the value of x.

Determine the principal that must be invested at rate r, compounded monthly, so that will be available for retirement in t years.