Question 1

Condense the expression  to the logarithm of a single term.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Condense the expression  to the logarithm...

Question 2

Graph the function using translations. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the function using translations. 
A) 
B)...

Question 3

Find the exact value of  without using a calculator.
A) 
B) 
C) 
D) 
E) -1

Accepted Answer

The answer of Find the exact value of  without...

Question 4

Find the value of b that would cause the graph of y = b^x to look like the graph indicated. A) B) C) D) E)

Accepted Answer

The answer of Find the value of b that would...

Question 5

Rewrite the logarithm  in terms of the common logarithm (base 10).
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Rewrite the logarithm  in terms of...

Question 6

Find the exact value of  without using a calculator.
A) 1.25
B) 5
C) 2
D) 3
E) 2.5

Accepted Answer

The answer of Find the exact value of  without...

Question 7

Use the One-to-One Property to solve the following equation for x. 
A) 
B) 
C) 
D) 
E) 2

Accepted Answer

The answer of Use the One-to-One Property to solve the...

Question 8

An initial investment of $9000 grows at an annual interest rate of 5% compounded continuously. How long will it take to double the investment?
A) 13.86 years
B) 14.86 years
C) 14.40 years
D) 13.40 years
E) 1 year

Accepted Answer

The answer of An initial investment of $9000 grows at...

Question 9

Graph the function. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the function. 
A) 
B) 
C) 
D)...

Question 10

Rewrite the logarithm  in terms of the natural logarithm.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Rewrite the logarithm  in terms of...

Question 11

Simplify the expression  .
A) 4
B) -12
C) 1
D) -108
E) The expression cannot be simplified.

Accepted Answer

The answer of Simplify the expression  .
A) 4
B) -12
C)...

Question 12

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 3.2, how many times higher is its  than pure water's, which has a pH of 7?
A) 
B) 
C) 
D) 
E) 7

Accepted Answer

The answer of The chemical acidity of a solution is...

Question 13

Evaluate the logarithm  using the change of base formula. Round to 3 decimal places.
A) 0.630
B) -0.692
C) -1.745
D) -0.573
E) 0.273

Accepted Answer

The answer of Evaluate the logarithm  using the change...

Question 14

Evaluate the logarithm  using the change of base formula. Round to 3 decimal places.
A) 3.738
B) 0.521
C) 1.921
D) 7.273
E) 1.623

Accepted Answer

The answer of Evaluate the logarithm  using the change...

Question 15

Solve for x:  . Round to 3 decimal places.
A) 2.407
B) 0.407
C) 1.362
D) -1.362
E) no solution

Accepted Answer

The answer of Solve for x:  . Round to...

Question 16

Simplify the expression  .
A) 
B) 
C) 6
D) 
E) The expression cannot be simplified.

Accepted Answer

The answer of Simplify the expression  .
A) 
B) 
C)...

Question 17

Identify the graph of the function. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Identify the graph of the function. 
A)...

Question 18

Condense the expression  to the logarithm of a single term.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Condense the expression  to the logarithm...

Question 19

Graph the exponential function. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the exponential function. 
A) 
B) 
C)...

Question 20

Condense the expression  to the logarithm of a single term.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Condense the expression  to the logarithm...

Quiz 4: Exponential and Logarithmic Functions

Condense the expression to the logarithm of a single term.

Graph the function using translations.

Find the exact value of without using a calculator.

Find the value of b that would cause the graph of y = b^x to look like the graph indicated.

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

Find the exact value of without using a calculator.

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

An initial investment of $9000 grows at an annual interest rate of 5% compounded continuously. How long will it take to double the investment?

Graph the function.

Rewrite the logarithm in terms of the natural logarithm.

Simplify the expression .

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 3.2, how many times higher is its than pure water's, which has a pH of 7?

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

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

Solve for x: . Round to 3 decimal places.

Simplify the expression .

Identify the graph of the function.

Condense the expression to the logarithm of a single term.

Graph the exponential function.

Condense the expression to the logarithm of a single term.

Quiz 4: Exponential and Logarithmic Functions

Condense the expression to the logarithm of a single term.

Graph the function using translations.

Find the exact value of without using a calculator.

Find the value of b that would cause the graph of y = bx to look like the graph indicated.

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

Find the exact value of without using a calculator.

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

An initial investment of $9000 grows at an annual interest rate of 5% compounded continuously. How long will it take to double the investment?

Graph the function.

Rewrite the logarithm in terms of the natural logarithm.

Simplify the expression .

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 3.2, how many times higher is its than pure water's, which has a pH of 7?

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

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

Solve for x: . Round to 3 decimal places.

Simplify the expression .

Identify the graph of the function.

Condense the expression to the logarithm of a single term.

Graph the exponential function.

Condense the expression to the logarithm of a single term.

Find the value of b that would cause the graph of y = b^x to look like the graph indicated.