Question 1

Rewrite the exponential equation   in logarithmic form.

Accepted Answer

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

Question 2

Let Q represent a mass of radioactive radium (226Ra) (in grams), whose half-life is 1599 years. The quantity of radium present after t years is   Determine the quantity present after 200 years. Round to the nearest hundredth of a gram.

Accepted Answer

A) 0.00 g 
B) 4.00 g 
C) 0.92 g 
D) 3.67 g 
E) 0.25 g 
A) 0.00 g 
B) 4.00 g 
C) 0.92 g 
D) 3.67 g 
E) 0.25 g

Question 3

Condense the expression   to the logarithm of a single term.

Accepted Answer

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

Question 4

Rewrite the logarithmic equation   in exponential form.

Accepted Answer

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

Question 5

Write the equation   in logarithmic form.

Accepted Answer

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

Question 6

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

Accepted Answer

A)    
B)    
C)    
D)    
E) 2 
A)    
B)    
C)    
D)    
E) 2

Question 7

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

Accepted Answer

A) -2.928 
B) 3.391 
C) -3.391 
D) 2.150 
E) undefined 
A) -2.928 
B) 3.391 
C) -3.391 
D) 2.150 
E) undefined

Question 8

Find the value of x.

Accepted Answer

A) x = 8 
B) x = 128 
C) x = 2 
D) x = 256 
A) x = 8 
B) x = 128 
C) x = 2 
D) x = 256

Question 9

Solve for x:   . Round to 3 decimal places.

Accepted Answer

A) 0.663 
B) 1.362 
C) 3.663 
D) -1.362 
E) no solution 
A) 0.663 
B) 1.362 
C) 3.663 
D) -1.362 
E) no solution

Question 10

Condense the expression   to the logarithm of a single term.

Accepted Answer

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

Question 11

Graph the function using translations.

Accepted Answer

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

Question 12

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

Accepted Answer

A) 26.822 
B) 99.373 
C) 45.553 
D) 599.708 
E) 7.721 
A) 26.822 
B) 99.373 
C) 45.553 
D) 599.708 
E) 7.721

Question 13

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

Accepted Answer

A) 2.061 
B) 4.745 
C) 3.061 
D) 3.561 
E) 2.561 
A) 2.061 
B) 4.745 
C) 3.061 
D) 3.561 
E) 2.561

Question 14

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

Accepted Answer

A) 6.572 
B) 3.354 
C) 2.854 
D) 3.854 
E) 4.354 
A) 6.572 
B) 3.354 
C) 2.854 
D) 3.854 
E) 4.354

Question 15

The chemical acidity of a solution is measured in units of pH:   , where   is the hydrogen ion concentration in the solution. If a sample of rain has a pH of 3.3, how many times higher is its   than pure water's, which has a pH of 7?

Accepted Answer

A)    
B)    
C)    
D)    
E) 7 
A)    
B)    
C)    
D)    
E) 7

Question 16

Simplify the expression   .

Accepted Answer

A)    
B)    
C) 3 
D)    
E) The expression cannot be simplified. 
A)    
B)    
C) 3 
D)    
E) The expression cannot be simplified.

Question 17

Identify the graph of the function.

Accepted Answer

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

Question 18

Find the exact value of   without using a calculator.

Accepted Answer

A)    
B)    
C)    
D)    
E) -1 
A)    
B)    
C)    
D)    
E) -1

Question 19

Write the equation   in logarithmic form.

Accepted Answer

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

Question 20

Rewrite the logarithmic equation   in exponential form.

Accepted Answer

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

Rewrite the exponential equation in logarithmic form.

Let Q represent a mass of radioactive radium (²²⁶Ra) (in grams), whose half-life is 1599 years. The quantity of radium present after t years is Determine the quantity present after 200 years. Round to the nearest hundredth of a gram.

Condense the expression to the logarithm of a single term.

Rewrite the logarithmic equation in exponential form.

Write the equation in logarithmic form.

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

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

Find the value of x.

Solve for x: . Round to 3 decimal places.

Condense the expression to the logarithm of a single term.

Graph the function using translations.

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

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

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

The chemical acidity of a solution is measured in units of pH: , where is the hydrogen ion concentration in the solution. If a sample of rain has a pH of 3.3, how many times higher is its than pure water's, which has a pH of 7?

Simplify the expression .

Identify the graph of the function.

Find the exact value of without using a calculator.

Write the equation in logarithmic form.

Rewrite the logarithmic equation in exponential form.

Functions and Their Graphs

Solving Equations and Inequalities

Polynomial and Rational Functions

Trigonometric Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Linear Systems and Matrices

Sequences, Series, and Probability

Topics in Analytic Geometry

Algebraic Expressions and Equations

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Exam 4: Exponential and Logarithmic Functions

Rewrite the exponential equation in logarithmic form.

Let Q represent a mass of radioactive radium (226Ra) (in grams), whose half-life is 1599 years. The quantity of radium present after t years is Determine the quantity present after 200 years. Round to the nearest hundredth of a gram.

Condense the expression to the logarithm of a single term.

Rewrite the logarithmic equation in exponential form.

Write the equation in logarithmic form.

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

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

Find the value of x.

Solve for x: . Round to 3 decimal places.

Condense the expression to the logarithm of a single term.

Graph the function using translations.

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

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

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

The chemical acidity of a solution is measured in units of pH: , where is the hydrogen ion concentration in the solution. If a sample of rain has a pH of 3.3, how many times higher is its than pure water's, which has a pH of 7?

Simplify the expression .

Identify the graph of the function.

Find the exact value of without using a calculator.

Write the equation in logarithmic form.

Rewrite the logarithmic equation in exponential form.

Functions and Their Graphs

Solving Equations and Inequalities

Polynomial and Rational Functions

Trigonometric Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Linear Systems and Matrices

Sequences, Series, and Probability

Topics in Analytic Geometry

Algebraic Expressions and Equations

Filters

Let Q represent a mass of radioactive radium (²²⁶Ra) (in grams), whose half-life is 1599 years. The quantity of radium present after t years is Determine the quantity present after 200 years. Round to the nearest hundredth of a gram.