Question 1

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

Accepted Answer

A) 1.58   
B) 6.31   
C) 6.31   
D) 1.58   
E) 3.800 
A) 1.58   
B) 6.31   
C) 6.31   
D) 1.58   
E) 3.800

Question 2

Simplify the expression   .

Accepted Answer

A) 4 
B) -8 
C) 2 
D) -36 
E) The expression cannot be simplified. 
A) 4 
B) -8 
C) 2 
D) -36 
E) The expression cannot be simplified.

Question 3

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

Accepted Answer

A) 6.303 
B) 0.309 
C) 3.239 
D) 12.264 
E) 2.737 
A) 6.303 
B) 0.309 
C) 3.239 
D) 12.264 
E) 2.737

Question 4

An investment is expected to pay 5% per year compounded continuously. If you want the value of the investment to be $900,000 after 25 years, how much should you invest initially? Round to the nearest dollar.

Accepted Answer

A) $64,464 
B) $128,927 
C) $257,854 
D) $515,709 
E) $429,203 
A) $64,464 
B) $128,927 
C) $257,854 
D) $515,709 
E) $429,203

Question 5

Evaluate the function   at x = 3.6. 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 6

Identify the x-intercept of the function   .

Accepted Answer

A)    
B)    
C) -4 
D) 8 
E) The function has no x-intercept. 
A)    
B)    
C) -4 
D) 8 
E) The function has no x-intercept.

Question 7

Identify the graph that represents the function.

Accepted Answer

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

Question 8

An initial investment of $7000 grows at an annual interest rate of 3% compounded continuously. How long will it take to double the investment?

Accepted Answer

A) 23.10 years 
B) 24.10 years 
C) 24.00 years 
D) 23.00 years 
E) 1 year 
A) 23.10 years 
B) 24.10 years 
C) 24.00 years 
D) 23.00 years 
E) 1 year

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

Simplify the expression .

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

An investment is expected to pay 5% per year compounded continuously. If you want the value of the investment to be $900,000 after 25 years, how much should you invest initially? Round to the nearest dollar.

Evaluate the function at x = 3.6. Round to 3 decimal places.

Identify the x-intercept of the function .

Identify the graph that represents the function.

An initial investment of $7000 grows at an annual interest rate of 3% compounded continuously. How long will it take to double the investment?

Prerequisites

Functions and Their Graphs

Polynomial and Rational Functions

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Exponential and Logarithmic Functions and Calculus

Trigonometric Functions

Analytic Trigonometry

Trigonometric Functions and Calculus

Topics in Analytic Geometry

Additional Topics in Trigonometry

Filters

Exam 8: Exponential and Logarithmic Functions

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

Simplify the expression .

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

An investment is expected to pay 5% per year compounded continuously. If you want the value of the investment to be $900,000 after 25 years, how much should you invest initially? Round to the nearest dollar.

Evaluate the function at x = 3.6. Round to 3 decimal places.

Identify the x-intercept of the function .

Identify the graph that represents the function.

An initial investment of $7000 grows at an annual interest rate of 3% compounded continuously. How long will it take to double the investment?

Prerequisites

Functions and Their Graphs

Polynomial and Rational Functions

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Exponential and Logarithmic Functions and Calculus

Trigonometric Functions

Analytic Trigonometry

Trigonometric Functions and Calculus

Topics in Analytic Geometry

Additional Topics in Trigonometry

Filters

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