Deck 4: Exponential and Logarithmic Functions

Question 1

Assume that x, y, and b are positive numbers. Use the properties of logarithms to write the expression in terms of the logarithms of x and y.

A)
B)
C)
D)
E)

Answer 1

Question 2

Write the equation in logarithmic form.

A)
B)
C)
D)
E)

Answer 2

Question 3

Find the value of x.

A)x = 81
B)x = 3
C)x = 4
D)x = 41

Answer 3

x = 4

Question 4

Solve the equation. 2^x = 7

A)x = 1.3562
B)x = 1.5907
C)x = 0.3562
D)x = 5.7883
E)x = 0.4796

Question 5

Graph the function.

A)


B)


C)


D)

Question 6

Assume that x, y, and d are positive numbers. Use the properties of logarithms to write the expression in terms of the logarithms of x and y.

A)
B)
C)
D)
E)

Question 7

Identify the graph of the function.

A)


B)


C)


D)


E)

Question 8

Graph the function using translations.

A)


B)


C)


D)

Question 9

Find the graph of the function.

A)


B)


C)


D)

Question 10

Assume that x, y, z and b are positive numbers. Use the properties of logarithms to write the expression in terms of the logarithms of x, y, and z.

A)


B)


C)


D)


E)

Question 11

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

A)


B)

C)

D)


E)

Question 12

Find the graph of the function.

A)


B)


C)


D)

Question 13

Graph the function using translations.

A)


B)


C)


D)

Question 14

Graph the function using translations.

A)


B)


C)


D)

Question 15

Graph the exponential function.

A)


B)


C)


D)

Question 16

Assume that x is a positive number. Use the properties of logarithms to write the expression as the logarithm of one quantity.

A)


B)


C)


D)


E)

Question 17

Use a graphing utility to determine which graph below is the graph of the function.

A)


B)


C)


D)


E)

Question 18

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)

Question 19

Assume that x, y, and z are positive numbers. Use the properties of logarithms to write the expression as the logarithm of one quantity.

A)


B)


C)


D)


E)

Question 20

Find the value of b, if any, that would cause the graph of to look like the graph shown.

A)b = 3.5
B)b = 2.5
C)b = 4
D)b = 3
E)b = 2

Question 21

Simplify the expression.

A)4
B)5
C)20
D)16
E)none of these