Question 1

Rewrite the logarithm   in terms of the common logarithm (base 10).

Accepted Answer

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

Question 2

What is the value of the function   at x = 2.5? Round to 3 decimal places.

Accepted Answer

A) 0.603 
B) 0.047 
C) 7.344 
D) -38.124 
E) 0.000 
A) 0.603 
B) 0.047 
C) 7.344 
D) -38.124 
E) 0.000 B

Question 3

Condense the expression   to the logarithm of a single term.

Accepted Answer

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

Question 4

Write the logarithmic equation   in exponential form.

Accepted Answer

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

Question 5

Approximate the solution of   to 3 decimal places. (You may use a graphing utility.)

Accepted Answer

A) 8.792 
B) 12.294 
C) 7.222 
D) -6.489 
E) 7.511 
A) 8.792 
B) 12.294 
C) 7.222 
D) -6.489 
E) 7.511

Question 6

Use a graphing utility to approximate the solution to   . Round to 3 decimal places.

Accepted Answer

A) 4.772 
B) 3.772 
C) 2.386 
D) 1.886 
E) no solution 
A) 4.772 
B) 3.772 
C) 2.386 
D) 1.886 
E) no solution

Question 7

Evaluate the function   without using a calculator.

Accepted Answer

A) 0 
B) -1 
C) -2 
D) 4 
E)    
A) 0 
B) -1 
C) -2 
D) 4 
E)

Question 8

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

Accepted Answer

A) 1.546 
B) 0.671 
C) 1.280 
D) -0.347 
E) undefined 
A) 1.546 
B) 0.671 
C) 1.280 
D) -0.347 
E) undefined

Question 9

Solve   for x.

Accepted Answer

A) 1 
B)    
C)    
D)    
E) no solution 
A) 1 
B)    
C)    
D)    
E) no solution

Question 10

Sketch the graph of the function   .

Accepted Answer

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

Question 11

Identify the x-intercept of the function   .

Accepted Answer

A) x = 1 
B) x = 0 
C) x = 4 
D) x = 2 
E) The function has no x-intercept. 
A) x = 1 
B) x = 0 
C) x = 4 
D) x = 2 
E) The function has no x-intercept.

Question 12

Evaluate the function   without using a calculator.

Accepted Answer

A) -2 
B)    
C) 2 
D)    
E) undefined 
A) -2 
B)    
C) 2 
D)    
E) undefined

Question 13

Find the exact value of   without using a calculator.

Accepted Answer

A)    
B) 1 
C) 11 
D)    
E) 4 
A)    
B) 1 
C) 11 
D)    
E) 4

Question 14

Use a graphing utility to graph the function.

Accepted Answer

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

Question 15

The value of an investment is presently $9186.79. It had been paying 8% compounded continuously since the investment was made 10 years ago. How much was invested originally?

Accepted Answer

A) $3699.15 
B) $4127.89 
C) $5076.14 
D) $5973.34 
E) $1456.01 
A) $3699.15 
B) $4127.89 
C) $5076.14 
D) $5973.34 
E) $1456.01

Question 16

Evaluate the function   at x = 240. Round to 3 decimal places.

Accepted Answer

A) 3.310 
B) 96,480.000 
C) 1324.082 
D) 1764.558 
E) 404.010 
A) 3.310 
B) 96,480.000 
C) 1324.082 
D) 1764.558 
E) 404.010

Question 17

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

Accepted Answer

A) 0.395 
B) -0.434 
C) -2.778 
D) -0.360 
E) 0.172 
A) 0.395 
B) -0.434 
C) -2.778 
D) -0.360 
E) 0.172

Question 18

Approximate the solution to   . Round to 3 decimal places.

Accepted Answer

A) -0.632 
B) 0.333 
C) 1.164 
D) 2.718 
E) 0.222 
A) -0.632 
B) 0.333 
C) 1.164 
D) 2.718 
E) 0.222

Question 19

What is the value of the function   at x = 2.3? Round to 3 decimal places.

Accepted Answer

A) 118.806 
B) 91.605 
C) 1.851 
D) 76.221 
E) 216.302 
A) 118.806 
B) 91.605 
C) 1.851 
D) 76.221 
E) 216.302

Question 20

Rewrite the exponential equation   in logarithmic form.

Accepted Answer

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

Rewrite the logarithm in terms of the common logarithm (base 10).

What is the value of the function at x = 2.5? Round to 3 decimal places.

Condense the expression to the logarithm of a single term.

Write the logarithmic equation in exponential form.

Approximate the solution of to 3 decimal places. (You may use a graphing utility.)

Use a graphing utility to approximate the solution to . Round to 3 decimal places.

Evaluate the function without using a calculator.

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

Solve for x.

Sketch the graph of the function ^.

Identify the x-intercept of the function .

Evaluate the function without using a calculator.

Find the exact value of without using a calculator.

Use a graphing utility to graph the function.

The value of an investment is presently $9186.79. It had been paying 8% compounded continuously since the investment was made 10 years ago. How much was invested originally?

Evaluate the function at x = 240. Round to 3 decimal places.

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

Approximate the solution to . Round to 3 decimal places.

What is the value of the function at x = 2.3? Round to 3 decimal places.

Rewrite the exponential equation in logarithmic form.

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

Rewrite the logarithm in terms of the common logarithm (base 10).

What is the value of the function at x = 2.5? Round to 3 decimal places.

Condense the expression to the logarithm of a single term.

Write the logarithmic equation in exponential form.

Approximate the solution of to 3 decimal places. (You may use a graphing utility.)

Use a graphing utility to approximate the solution to . Round to 3 decimal places.

Evaluate the function without using a calculator.

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

Solve for x.

Sketch the graph of the function .

Identify the x-intercept of the function .

Evaluate the function without using a calculator.

Find the exact value of without using a calculator.

Use a graphing utility to graph the function.

The value of an investment is presently $9186.79. It had been paying 8% compounded continuously since the investment was made 10 years ago. How much was invested originally?

Evaluate the function at x = 240. Round to 3 decimal places.

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

Approximate the solution to . Round to 3 decimal places.

What is the value of the function at x = 2.3? Round to 3 decimal places.

Rewrite the exponential equation in logarithmic form.

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

Sketch the graph of the function ^.