Question 1

Solve.
-How long must $5400 be in a bank at 5% compounded annually to become $9697.62? (Round to the nearest year.)

Accepted Answer

A)  14 yr 
B)  12 yr 
C)  13 yr 
D)  11 yr 
A)  14 yr 
B)  12 yr 
C)  13 yr 
D)  11 yr

Question 2

Solve the problem.
-The number of bacteria growing in an incubation culture increases with time according to B(x) =   where x is time in days. Find the number of bacteria when x = 0 and x = 3 .

Accepted Answer

A)  19,600 ; 78,400 
B)  9800 ; 58,800 
C)  9800 ; 39,200 
D)  9800 ; 78,400 
A)  19,600 ; 78,400 
B)  9800 ; 58,800 
C)  9800 ; 39,200 
D)  9800 ; 78,400

Question 3

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-Explain the error in the following:

Accepted Answer

A difference of loga

Question 4

Solve.
-The sales of a mature product (one which has passed its peak) are given by the function   , where t is time in years. Find the sales after 9 years if a   .

Accepted Answer

A)  13,836 
B)  8282 
C)  69,912 
D)  16,564 
A)  13,836 
B)  8282 
C)  69,912 
D)  16,564

Question 5

Use composition to verify whether or not the inverse is correct.
-

Accepted Answer

A) True 
 B)False

Question 6

Graph the equation of the relation using a solid line, and then graph the inverse of the relation using a dashed line.
-y =

Accepted Answer

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

Question 7

Solve for x.
-

Accepted Answer

A)  9 ln e 
B)    
C)  9 
D)  1 
A)  9 ln e 
B)    
C)  9 
D)  1

Question 8

Express in terms of logarithms of a single variable or a number.
-

Accepted Answer

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

Question 9

Determine whether the function is one-to-one.
-f(x) = 64 -

Accepted Answer

A) True 
 B)False

Question 10

Graph the function as a solid curve and its inverse as a dashed curve.
-f(x) =

Accepted Answer

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

Question 11

Express as a single logarithm.
-

Accepted Answer

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

Question 12

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-Explain why negative numbers do not have logarithms.

Accepted Answer

Consider @#IMG-DLM& , where a is a posit

Question 13

Solve the equation.
-log4 (x - 3) + log4 (x - 3) = 1

Accepted Answer

A)    
B)  -5, 5 
C)    
D)  5 
A)    
B)  -5, 5 
C)    
D)  5

Question 14

Solve.
-At what interest rate must $4800 be compounded annually to equal $7091.79 after 8 yr? (Round to the nearest percent.)

Accepted Answer

A)  4% 
B)  5% 
C)  6% 
D)  7% 
A)  4% 
B)  5% 
C)  6% 
D)  7%

Question 15

Find the logarithm.
-

Accepted Answer

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

Question 16

Graph the relation using solid circles and the inverse using open circles.
-{(-9, 3), (9, -3), (-7, -1), (7, 1)}

Accepted Answer

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

Question 17

Convert to an exponential equation.
-

Accepted Answer

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

Question 18

Solve.
-The decay of 331 mg of an isotope is given by   where t is time in years. Find the amount left after 9 years.

Accepted Answer

A)  321 
B)  253 
C)  245 
D)  127 
A)  321 
B)  253 
C)  245 
D)  127

Question 19

Convert to a logarithmic equation.
-

Accepted Answer

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

Question 20

Simplify.
-

Accepted Answer

A)  a1948 
B)    
C)  1 
D)  1948 
A)  a1948 
B)    
C)  1 
D)  1948

Solve. -How long must $5400 be in a bank at 5% compounded annually to become $9697.62? (Round to the nearest year.)

Solve the problem. -The number of bacteria growing in an incubation culture increases with time according to B(x) = where x is time in days. Find the number of bacteria when x = 0 and x = 3 .

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain the error in the following:

Solve. -The sales of a mature product (one which has passed its peak) are given by the function , where t is time in years. Find the sales after 9 years if a .

Use composition to verify whether or not the inverse is correct. -

Graph the equation of the relation using a solid line, and then graph the inverse of the relation using a dashed line. -y =

Solve for x. -

Express in terms of logarithms of a single variable or a number. -

Determine whether the function is one-to-one. -f(x) = 64 -

Graph the function as a solid curve and its inverse as a dashed curve. -f(x) =

Express as a single logarithm. -

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain why negative numbers do not have logarithms.

Solve the equation. -log4 (x - 3) + log4 (x - 3) = 1

Solve. -At what interest rate must $4800 be compounded annually to equal $7091.79 after 8 yr? (Round to the nearest percent.)

Find the logarithm. -

Graph the relation using solid circles and the inverse using open circles. -{(-9, 3), (9, -3), (-7, -1), (7, 1)}

Convert to an exponential equation. -

Solve. -The decay of 331 mg of an isotope is given by where t is time in years. Find the amount left after 9 years.

Convert to a logarithmic equation. -

Simplify. -

Introduction

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Graphs, Functions, and Applications

Systems of Equations

More on Inequalities

Radical Expressions, Equations, and Functions

Quadratic Equations and Functions

Calculating Means and Medians of Data Sets

Filters

Exam 13: Exponential Functions and Logarithmic Functions

Solve. -How long must $5400 be in a bank at 5% compounded annually to become $9697.62? (Round to the nearest year.)

Solve the problem. -The number of bacteria growing in an incubation culture increases with time according to B(x) = where x is time in days. Find the number of bacteria when x = 0 and x = 3 .

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain the error in the following:

Solve. -The sales of a mature product (one which has passed its peak) are given by the function , where t is time in years. Find the sales after 9 years if a .

Use composition to verify whether or not the inverse is correct. -

Graph the equation of the relation using a solid line, and then graph the inverse of the relation using a dashed line. -y =

Solve for x. -

Express in terms of logarithms of a single variable or a number. -

Determine whether the function is one-to-one. -f(x) = 64 -

Graph the function as a solid curve and its inverse as a dashed curve. -f(x) =

Express as a single logarithm. -

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain why negative numbers do not have logarithms.

Solve the equation. -log4 (x - 3) + log4 (x - 3) = 1

Solve. -At what interest rate must $4800 be compounded annually to equal $7091.79 after 8 yr? (Round to the nearest percent.)

Find the logarithm. -

Graph the relation using solid circles and the inverse using open circles. -{(-9, 3), (9, -3), (-7, -1), (7, 1)}

Convert to an exponential equation. -

Solve. -The decay of 331 mg of an isotope is given by where t is time in years. Find the amount left after 9 years.

Convert to a logarithmic equation. -

Simplify. -

Introduction

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Graphs, Functions, and Applications

Systems of Equations

More on Inequalities

Radical Expressions, Equations, and Functions

Quadratic Equations and Functions

Calculating Means and Medians of Data Sets

Filters