Question 1

Use the properties of logarithms to simplify the expression. ​   ​

Accepted Answer

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

Question 2

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 3

Find the intensity I of an earthquake measuring R on the Richter scale   . ​
Southern Sumatra, Indonesia in 2007,   ​

Accepted Answer

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

Question 4

Solve   for x.

Accepted Answer

A) -3 
B) -4 
C) -1 
D) 1 
E) no solution 
A) -3 
B) -4 
C) -1 
D) 1 
E) no solution

Question 5

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 6

Use a graphing utility to determine which graph below is the graph of the function. ​

Accepted Answer

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

Question 7

Match the graph with its exponential function. ​   ​

Accepted Answer

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

Question 8

Simplify the expression. ​   ​

Accepted Answer

A) 45 
B) 5 
C) 9 
D) 81 
E) none of these 
A) 45 
B) 5 
C) 9 
D) 81 
E) none of these

Question 9

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

Accepted Answer

A) 1,000 
B) 1,000,000 
C) 10,000 
D) 100,000 
E) 100 
A) 1,000 
B) 1,000,000 
C) 10,000 
D) 100,000 
E) 100

Question 10

Write the logarithmic equation in exponential form. ​   ​

Accepted Answer

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

Question 11

given that f(x) = ln x.
​
f(8x) = f(8) + f(x), x > 0
​

Accepted Answer

A) True 
 B)False

Question 12

Evaluate the function   at   .Round to 3 decimal places.

Accepted Answer

A) 5.287 
B) 4.680 
C) 20.055 
D) 2.572 
E) 1.690 
A) 5.287 
B) 4.680 
C) 20.055 
D) 2.572 
E) 1.690

Question 13

Determine whether the given x-value is a solution (or an approximate solution) of the equation. ​   ​

Accepted Answer

A) No 
B) Yes 
A) No 
B) Yes

Question 14

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

Accepted Answer

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

Question 15

Select the correct graph for the given function ​   ​

Accepted Answer

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

Question 16

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

Accepted Answer

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

Question 17

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

Accepted Answer

A) 7.43 
B) 6.43 
C) 8.43 
D) 10.43 
E) 9.43 
A) 7.43 
B) 6.43 
C) 8.43 
D) 10.43 
E) 9.43

Question 18

Solve for x.Approximate the result to three decimal places. ​   ​

Accepted Answer

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

Question 19

Evaluate the logarithm using the change-of-base formula.Round your result to three decimal places. ​
Log9 0.1
​

Accepted Answer

A) 2.952 
B) -0.048 
C) -1.048 
D) 1.952 
E) 0.952 
A) 2.952 
B) -0.048 
C) -1.048 
D) 1.952 
E) 0.952

Question 20

An initial investment of $2000 grows at an annual interest rate of 4% compounded continuously.How long will it take to double the investment?

Accepted Answer

A) 17.33 years 
B) 18.33 years 
C) 18.00 years 
D) 17.00 years 
E) 1 year 
A) 17.33 years 
B) 18.33 years 
C) 18.00 years 
D) 17.00 years 
E) 1 year

Use the properties of logarithms to simplify the expression.

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

Find the intensity I of an earthquake measuring R on the Richter scale . Southern Sumatra, Indonesia in 2007,

Solve for x.

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

Use a graphing utility to determine which graph below is the graph of the function.

Match the graph with its exponential function.

Simplify the expression.

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

Write the logarithmic equation in exponential form.

given that f(x) = ln x. f(8x) = f(8) + f(x), x > 0

Evaluate the function at .Round to 3 decimal places.

Determine whether the given x-value is a solution (or an approximate solution) of the equation.

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

Select the correct graph for the given function

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

Find the magnitude R of an earthquake of intensity .

Solve for x.Approximate the result to three decimal places.

Evaluate the logarithm using the change-of-base formula.Round your result to three decimal places. Log₉ 0.1

An initial investment of $2000 grows at an annual interest rate of 4% compounded continuously.How long will it take to double the investment?

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Topics-In-Analytic-Geometry

Prerequisites

Filters

Exam 5: Exponential-And-Logarithmic-Functions

Use the properties of logarithms to simplify the expression. ​ ​

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

Find the intensity I of an earthquake measuring R on the Richter scale . ​ Southern Sumatra, Indonesia in 2007, ​

Solve for x.

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

Use a graphing utility to determine which graph below is the graph of the function. ​

Match the graph with its exponential function. ​ ​

Simplify the expression. ​ ​

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

Write the logarithmic equation in exponential form. ​ ​

given that f(x) = ln x. ​ f(8x) = f(8) + f(x), x > 0 ​

Evaluate the function at .Round to 3 decimal places.

Determine whether the given x-value is a solution (or an approximate solution) of the equation. ​ ​

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

Select the correct graph for the given function ​ ​

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

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

Solve for x.Approximate the result to three decimal places. ​ ​

Evaluate the logarithm using the change-of-base formula.Round your result to three decimal places. ​ Log9 0.1 ​

An initial investment of $2000 grows at an annual interest rate of 4% compounded continuously.How long will it take to double the investment?

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Topics-In-Analytic-Geometry

Prerequisites

Filters

Use the properties of logarithms to simplify the expression.

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

Find the intensity I of an earthquake measuring R on the Richter scale . Southern Sumatra, Indonesia in 2007,

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

Use a graphing utility to determine which graph below is the graph of the function.

Match the graph with its exponential function.

Simplify the expression.

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

Write the logarithmic equation in exponential form.

given that f(x) = ln x. f(8x) = f(8) + f(x), x > 0

Determine whether the given x-value is a solution (or an approximate solution) of the equation.

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

Select the correct graph for the given function

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

Find the magnitude R of an earthquake of intensity .

Solve for x.Approximate the result to three decimal places.

Evaluate the logarithm using the change-of-base formula.Round your result to three decimal places. Log₉ 0.1