Question 1

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

Accepted Answer

A) -3.4308 
B) 3.4308 
C) -1.49 
D) 1.49 
E) 5.7333 
A) -3.4308 
B) 3.4308 
C) -1.49 
D) 1.49 
E) 5.7333

Question 2

Use the properties of logarithms to rewrite and simplify the logarithmic expression. ​
Ln (3e4)
​

Accepted Answer

A) ln 4 
B) ln 3 + 4 
C) ln 4 + 3 
D) ln 7 
E) ln 3 
A) ln 4 
B) ln 3 + 4 
C) ln 4 + 3 
D) ln 7 
E) ln 3

Question 3

Solve for x:   .Round to 3 decimal places.

Accepted Answer

A) -20.606 
B) 9.803 
C) 20.606 
D) -3.268 
E) 15.777 
A) -20.606 
B) 9.803 
C) 20.606 
D) -3.268 
E) 15.777

Question 4

Select the graph of the exponential function. ​   ​

Accepted Answer

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

Question 5

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

Accepted Answer

A) -0.587 
B) 0.609 
C) -0.609 
D) 0.683 
E) undefined 
A) -0.587 
B) 0.609 
C) -0.609 
D) 0.683 
E) undefined

Question 6

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 7

Identify the graph of the function. ​   ​

Accepted Answer

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

Question 8

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 9

Evaluate the function   at   without using a calculator.

Accepted Answer

A)    
B) -3 
C) -1 
D) 25 
E) -2 
A)    
B) -3 
C) -1 
D) 25 
E) -2

Question 10

Find the exact value of the logarithmic expression without using a calculator. ​
5 ln e7
​

Accepted Answer

A) 7 
B) 35 
C) 5 
D) e 
E) 1 
A) 7 
B) 35 
C) 5 
D) e 
E) 1

Question 11

Identify the value of the function   at   .Round to 3 decimal places.

Accepted Answer

A) 2.498 
B) 2.998 
C) 3.498 
D) 3.998 
E) 5.753 
A) 2.498 
B) 2.998 
C) 3.498 
D) 3.998 
E) 5.753

Question 12

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 13

Write the exponential equation in logarithmic form. ​   ​

Accepted Answer

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

Question 14

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

Accepted Answer

A) 1.85 
B) 0.541 
C) 0.014 
D) -0.541 
E) -1.85 
A) 1.85 
B) 0.541 
C) 0.014 
D) -0.541 
E) -1.85

Question 15

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

Accepted Answer

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

Question 16

Condense the expression to the logarithm of a single quantity. ​
Log2 10 + log2 x
​

Accepted Answer

A) log2 (10 - x) 
B)    
C) log2 (10 + x) 
D) log2 10x 
E) log2 10x 
A) log2 (10 - x) 
B)    
C) log2 (10 + x) 
D) log2 10x 
E) log2 10x

Question 17

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 18

Write the exponential equation   in logarithmic form.

Accepted Answer

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

Question 19

Rewrite the logarithm log4 17 in terms of the natural logarithm.

Accepted Answer

A)    
B)    
C)    
D) ln 17 
E) ln 4 ln 17 
A)    
B)    
C)    
D) ln 17 
E) ln 4 ln 17

Question 20

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

Accepted Answer

A) 13 
B) 11 
C) 12 
D) 10 
E) 14 
A) 13 
B) 11 
C) 12 
D) 10 
E) 14

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

Use the properties of logarithms to rewrite and simplify the logarithmic expression. Ln (3e⁴)

Solve for x: .Round to 3 decimal places.

Select the graph of the exponential function.

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

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

Identify the graph of the function.

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

Evaluate the function at without using a calculator.

Find the exact value of the logarithmic expression without using a calculator. 5 ln e⁷

Identify the value of the function at .Round to 3 decimal places.

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

Write the exponential equation in logarithmic form.

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

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

Condense the expression to the logarithm of a single quantity. Log₂ 10 + log₂ x

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

Write the exponential equation in logarithmic form.

Rewrite the logarithm log₄ 17 in terms of the natural logarithm.

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

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 a value for to four decimal places. ​

Use the properties of logarithms to rewrite and simplify the logarithmic expression. ​ Ln (3e4) ​

Solve for x: .Round to 3 decimal places.

Select the graph of the exponential function. ​ ​

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

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

Identify the graph of the function. ​ ​

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

Evaluate the function at without using a calculator.

Find the exact value of the logarithmic expression without using a calculator. ​ 5 ln e7 ​

Identify the value of the function at .Round to 3 decimal places.

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

Write the exponential equation in logarithmic form. ​ ​

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

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

Condense the expression to the logarithm of a single quantity. ​ Log2 10 + log2 x ​

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

Write the exponential equation in logarithmic form.

Rewrite the logarithm log4 17 in terms of the natural logarithm.

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

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Topics-In-Analytic-Geometry

Prerequisites

Filters

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

Use the properties of logarithms to rewrite and simplify the logarithmic expression. Ln (3e⁴)

Select the graph of the exponential function.

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

Identify the graph of the function.

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

Find the exact value of the logarithmic expression without using a calculator. 5 ln e⁷

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

Write the exponential equation in logarithmic form.

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

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

Condense the expression to the logarithm of a single quantity. Log₂ 10 + log₂ x

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

Rewrite the logarithm log₄ 17 in terms of the natural logarithm.

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