Question 1

Write the expression as a single logarithm.
ln(x + 9) - 5ln(x - 4)

Accepted Answer

The answer of Write the expression as a single logarithm.
ln(x...

Question 2

Write the logarithmic equation in its equivalent exponential form.

Accepted Answer

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

Question 3

Evaluate the logarithm exactly.

Accepted Answer

A)  1 
B)  37 
C)  0 
D)  undefined 
A)  1 
B)  37 
C)  0 
D)  undefined

Question 4

Write the exponential equation in its equivalent logarithmic form.

Accepted Answer

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

Question 5

For the exponential function f (x) = 1 +   , state the y-intercept. Round your answer to two decimal places.

Accepted Answer

A)  (0, 21.09) 
B)  (0, 2) 
C)  (0, 1.05) 
D)  (0, -2) 
A)  (0, 21.09) 
B)  (0, 2) 
C)  (0, 1.05) 
D)  (0, -2)

Question 6

Evaluate exactly (without using a calculator). For rational exponents, consider converting to radical form first.

Accepted Answer

The answer of Evaluate exactly (without using a calculator). For...

Question 7

In 2002 the population of Stony Creek was 6500. Their population increases by 0.5% per year. What is the expected population in Stony Creek in 2009? Round your answer to the nearest whole number.

Accepted Answer

A)  6732 
B)  215,250 
C)  6533 
D)  232 
A)  6732 
B)  215,250 
C)  6533 
D)  232

Question 8

Approximate the number   . Round your answer to two decimal places.

Accepted Answer

A)  31.54 
B)  9.42 
C)  5.32 
D)  7.01 
A)  31.54 
B)  9.42 
C)  5.32 
D)  7.01

Question 9

Approximate the number   . Round your answer to two decimal places.

Accepted Answer

A)  1.59 
B)  11,585.24 
C)  64.00 
D)  1.26 
A)  1.59 
B)  11,585.24 
C)  64.00 
D)  1.26

Question 10

Evaluate the logarithm using the change-of-base formula. Round your answer to two decimal places.

Accepted Answer

A)  3.52 
B)  1.53 
C)  2.68 
D)  0.37 
A)  3.52 
B)  1.53 
C)  2.68 
D)  0.37

Question 11

Use the properties of logarithms to simplify the expression.

Accepted Answer

A)  63 
B)  1 
C)  0 
D)  not defined 
A)  63 
B)  1 
C)  0 
D)  not defined

Question 12

For the exponential function f (x) = 1 -   , state the y-intercept. Round your answer to two decimal places.

Accepted Answer

A)  (0, -1.72) 
B)  (0, 25.46) 
C)  (-1.72, 0) 
D)  (0, 0) 
A)  (0, -1.72) 
B)  (0, 25.46) 
C)  (-1.72, 0) 
D)  (0, 0)

Question 13

Write the logarithmic equation in its equivalent exponential form.

Accepted Answer

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

Question 14

Write the exponential equation in its equivalent logarithmic form.

Accepted Answer

The answer of Write the exponential equation in its equivalent...

Question 15

Graph the exponential function.

Accepted Answer

The answer of Graph the exponential function.
  ...

Question 16

Match the graph and the model name with the function.
Exponential decay

Accepted Answer

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

Question 17

Match the function with the graph and the model name.

Accepted Answer

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

Question 18

State the domain and range for the function. Express in interval notation.

Accepted Answer

Domain: (-

Question 19

Solve the exponential equation. Round your answer to three decimal places.

Accepted Answer

The answer of Solve the exponential equation. Round your answer...

Question 20

Solve the exponential equation exactly for x.

Accepted Answer

A)  -4 
B)  -4, 4 
C)  2 
D)  -2, 2 
A)  -4 
B)  -4, 4 
C)  2 
D)  -2, 2

Write the expression as a single logarithm. ln(x + 9) - 5ln(x - 4)

Write the logarithmic equation in its equivalent exponential form.

Evaluate the logarithm exactly.

Write the exponential equation in its equivalent logarithmic form.

For the exponential function f (x) = 1 + , state the y-intercept. Round your answer to two decimal places.

Evaluate exactly (without using a calculator). For rational exponents, consider converting to radical form first.

In 2002 the population of Stony Creek was 6500. Their population increases by 0.5% per year. What is the expected population in Stony Creek in 2009? Round your answer to the nearest whole number.

Approximate the number . Round your answer to two decimal places.

Approximate the number . Round your answer to two decimal places.

Evaluate the logarithm using the change-of-base formula. Round your answer to two decimal places.

Use the properties of logarithms to simplify the expression.

For the exponential function f (x) = 1 - , state the y-intercept. Round your answer to two decimal places.

Write the logarithmic equation in its equivalent exponential form.

Write the exponential equation in its equivalent logarithmic form.

Graph the exponential function.

Match the graph and the model name with the function. Exponential decay

Match the function with the graph and the model name.

State the domain and range for the function. Express in interval notation.

Solve the exponential equation. Round your answer to three decimal places.

Solve the exponential equation exactly for x.

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Exam 5: Exponential and Logarithmic Functions

Write the expression as a single logarithm. ln(x + 9) - 5ln(x - 4)

Write the logarithmic equation in its equivalent exponential form.

Evaluate the logarithm exactly.

Write the exponential equation in its equivalent logarithmic form.

For the exponential function f (x) = 1 + , state the y-intercept. Round your answer to two decimal places.

Evaluate exactly (without using a calculator). For rational exponents, consider converting to radical form first.

In 2002 the population of Stony Creek was 6500. Their population increases by 0.5% per year. What is the expected population in Stony Creek in 2009? Round your answer to the nearest whole number.

Approximate the number . Round your answer to two decimal places.

Approximate the number . Round your answer to two decimal places.

Evaluate the logarithm using the change-of-base formula. Round your answer to two decimal places.

Use the properties of logarithms to simplify the expression.

For the exponential function f (x) = 1 - , state the y-intercept. Round your answer to two decimal places.

Write the logarithmic equation in its equivalent exponential form.

Write the exponential equation in its equivalent logarithmic form.

Graph the exponential function.

Match the graph and the model name with the function. Exponential decay

Match the function with the graph and the model name.

State the domain and range for the function. Express in interval notation.

Solve the exponential equation. Round your answer to three decimal places.

Solve the exponential equation exactly for x.

Equations and Inequalities

Graphs

Functions and Their Graphs

Polynomial and Rational Functions

Systems of Linear Equations and Inequalities

Matrices

Conics and Systems of Nonlinear Equations and Inequalities

Sequences, Series, and Probability

Filters