Question 1

Use a calculator to find the value for   to four decimal places. ​

Accepted Answer

A) -0.0667 
B) -0.1536 
C) 0.9333 
D) -0.9333 
E) 0.0667 
A) -0.0667 
B) -0.1536 
C) 0.9333 
D) -0.9333 
E) 0.0667 A

Question 2

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

Accepted Answer

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

Question 3

Select the correct graph for the given function ​   ​

Accepted Answer

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

Question 4

Find the graph of the function. ​   ​

Accepted Answer

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

Question 5

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 6

A cell site is a site where electronic communications equipment is placed in a cellular network for the use of mobile phones.The numbers of cell sites from 1985 through 2008 can be modeled by   where t represents the year, with   corresponding to 1985.Use the model to find the numbers of cell sites in the year 2007 . ​

Accepted Answer

A) 211,071 
B) 209,071 
C) 208,071 
D) 207,071 
E) 210,071 
A) 211,071 
B) 209,071 
C) 208,071 
D) 207,071 
E) 210,071

Question 7

Simplify the expression. ​   ​

Accepted Answer

A) 4 
B) 16 
C) 24 
D) 6 
E) none of these 
A) 4 
B) 16 
C) 24 
D) 6 
E) none of these

Question 8

Find the value of b, if any, that would cause the graph of   to look like the graph shown. ​   ​

Accepted Answer

A) b = 3.5 
B) b = 4.5 
C) b = 2 
D) b = 4 
E) b = 1 
A) b = 3.5 
B) b = 4.5 
C) b = 2 
D) b = 4 
E) b = 1

Question 9

Use the change-of-base formula to rewrite the logarithm as a ratio of logarithms.Then use a graphing utility to graph the ratio.
​
F(x) = log11.7 x
​

Accepted Answer

A)      
B)      
C) f(x) = log x​ + log 11.7 = ln x​ + ln 11.7   
D)      
E)    ​   
A)      
B)      
C) f(x) = log x​ + log 11.7 = ln x​ + ln 11.7   
D)      
E)    ​

Question 10

Write the logarithmic equation in exponential form. ​   ​

Accepted Answer

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

Question 11

Evaluate the function   at   .Round to 3 decimal places.(You may use your calculator.)

Accepted Answer

A) undefined 
B) 1.106 
C) 0.374 
D) 0.861 
E) -0.347 
A) undefined 
B) 1.106 
C) 0.374 
D) 0.861 
E) -0.347

Question 12

Write the exponential equation in logarithmic form. ​   ​

Accepted Answer

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

Question 13

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

Accepted Answer

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

Question 14

Assume that x, y, and z are positive numbers.Use the properties of logarithms to write the expression   as the logarithm of one quantity. ​

Accepted Answer

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

Question 15

The chemical acidity of a solution is measured in units of pH:   , where   is the hydrogen ion concentration in the solution.What is   if the   ?

Accepted Answer

A) 3.800 
B)    
C)    
D)    
E)    
A) 3.800 
B)    
C)    
D)    
E)

Question 16

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

Accepted Answer

A) 1.786 
B) -11.674 
C) 0.82 
D) -1.786 
E) 11.674 
A) 1.786 
B) -11.674 
C) 0.82 
D) -1.786 
E) 11.674

Question 17

Assume that x, y, z and b are positive numbers.Use the properties of logarithms to write the expression   in terms of the logarithms of x, y, and z. ​

Accepted Answer

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

Question 18

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 19

Select the graph of the function. ​   ​

Accepted Answer

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

Question 20

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

Accepted Answer

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

Use a calculator to find the value for to four decimal places.

Condense the expression to the logarithm of a single quantity.

Select the correct graph for the given function

Find the graph of the function.

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

Simplify the expression.

Find the value of b, if any, that would cause the graph of to look like the graph shown.

Use the change-of-base formula to rewrite the logarithm as a ratio of logarithms.Then use a graphing utility to graph the ratio. F(x) = log_11.7 x

Write the logarithmic equation in exponential form.

Evaluate the function at .Round to 3 decimal places.(You may use your calculator.)

Write the exponential equation in logarithmic form.

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

Assume that x, y, and z are positive numbers.Use the properties of logarithms to write the expression as the logarithm of one quantity.

The chemical acidity of a solution is measured in units of pH: , where is the hydrogen ion concentration in the solution.What is if the ?

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

Assume that x, y, z and b are positive numbers.Use the properties of logarithms to write the expression in terms of the logarithms of x, y, and z.

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

Select the graph of the function.

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

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Topics-In-Analytic-Geometry

Prerequisites

Filters

Exam 5: Exponential-And-Logarithmic-Functions

Use a calculator to find the value for to four decimal places. ​

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

Select the correct graph for the given function ​ ​

Find the graph of the function. ​ ​

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

Simplify the expression. ​ ​

Find the value of b, if any, that would cause the graph of to look like the graph shown. ​ ​

Use the change-of-base formula to rewrite the logarithm as a ratio of logarithms.Then use a graphing utility to graph the ratio. ​ F(x) = log11.7 x ​

Write the logarithmic equation in exponential form. ​ ​

Evaluate the function at .Round to 3 decimal places.(You may use your calculator.)

Write the exponential equation in logarithmic form. ​ ​

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

Assume that x, y, and z are positive numbers.Use the properties of logarithms to write the expression as the logarithm of one quantity. ​

The chemical acidity of a solution is measured in units of pH: , where is the hydrogen ion concentration in the solution.What is if the ?

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

Assume that x, y, z and b are positive numbers.Use the properties of logarithms to write the expression in terms of the logarithms of x, y, and z. ​

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

Select the graph of the function. ​ ​

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

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Topics-In-Analytic-Geometry

Prerequisites

Filters

Use a calculator to find the value for to four decimal places.

Condense the expression to the logarithm of a single quantity.

Select the correct graph for the given function

Find the graph of the function.

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

Simplify the expression.

Find the value of b, if any, that would cause the graph of to look like the graph shown.

Use the change-of-base formula to rewrite the logarithm as a ratio of logarithms.Then use a graphing utility to graph the ratio. F(x) = log_11.7 x

Write the logarithmic equation in exponential form.

Write the exponential equation in logarithmic form.

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

Assume that x, y, and z are positive numbers.Use the properties of logarithms to write the expression as the logarithm of one quantity.

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

Assume that x, y, z and b are positive numbers.Use the properties of logarithms to write the expression in terms of the logarithms of x, y, and z.

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

Select the graph of the function.

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