Deck 12: Exponential and Logarithmic Functions

Question 1

Given , evaluate Round to the nearest ten-thousandth.

A) 0.0009
B) 404.4288
C) 1096.6332
D) 0.0067

Answer 1

1096.6332

Question 2

Write the logarithmic expression in exponential form.

A)
B)
C)
D)

Answer 2

Question 3

Graph:

A)
B)
C)
D)

Answer 3

Question 4

Evaluate:

A) undefined
B) 1
C) 0
D) 4

Question 5

Write the exponential expression in logarithmic form.

A)
B)
C)
D)

Question 6

Which of the following functions have the same graph?

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

Question 7

Given evaluate

A)
B) 1296
C) 0
D) 24
E)

Question 8

Evaluate: log 0.0001

A) 4
B)
C)
D) -4

Question 9

Evaluate:

A) 3
B) 2
C) 8
D) 9

Question 10

Graph:

A)
B)
C)
D)

Question 11

Given G(x) = e^x/4, evaluate G(3). Round to the nearest ten-thousandth.

A) 5.0214
B) 5.6234
C) 0.3679
D) 2.1170

Question 12

Write the logarithmic expression in exponential form.

A)
B)
C)
D)

Question 13

Evaluate: log 0.0001

A)
B) -4
C)
D) 4

Question 14

Graph:

A)
B)
C)
D)

Question 15

Write the exponential expression in logarithmic form.

A)
B)
C)
D)

Question 16

Evaluate:

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

Question 17

Given , evaluate H(3). Round to the nearest ten-thousandth.

A) 148.4132
B) 0.3679
C) 0.0025
D) 0.0067

Question 18

Graph:

A)
B)
C)
D)

Question 19

Graph:

A)
B)
C)
D)

Question 20

Write the logarithmic expression in exponential form.

A)
B)
C)
D)

Question 21

Write the logarithm in expanded form.

A)
B)
C)
D)

Question 22

Write the logarithm in expanded form.

A)
B)
C)
D)

Question 23

Express as a single logarithm.

A)
B)
C)
D)

Question 24

Write the logarithm in expanded form.

A)
B)
C)
D)

Question 25

Solve for x: Round to the nearest hundredth.

A) 0.02
B) 0.52
C) 16.90
D) 5.92

Question 26

Solve for x: Round to the nearest hundredth.

A) 3676.47
B) 2720.00
C) 100.06
D) 524.81

Question 27

Write the logarithm in expanded form.

A)
B)
C)
D)

Question 28

Write the logarithm in expanded form.

A)
B)
C)
D)

Question 29

Solve for x:

A) 0
B) undefined
C) 2
D) 1

Question 30

Write the logarithm in expanded form.

A)
B)
C)
D)

Question 31

Write the logarithm in expanded form.

A)
B)
C)
D)

Question 32

Solve for x: Round to the nearest hundredth.

A) 625.00
B) 3981.07
C) 39.81
D) 1600.00

Question 33

Write the logarithm in expanded form.

A)
B)
C)
D)

Question 34

Write the logarithm in expanded form.

A)
B)
C)
D)

Question 35

Solve for x: Round to the nearest hundredth.

A) 7331.97
B) 327.00
C) 219.00
D) 2419.00

Question 36

Solve for x:

A)
B) 15
C) 1
D) 243

Question 37

Solve for x:

A)
B)
C)
D)

Question 38

Solve for x: Round to the nearest hundredth.

A) 1.58
B) 0.01
C) 11.69
D) 18.49

Question 39

Express as a single logarithm.

A)
B)
C)
D)

Question 40

Write the logarithm in expanded form.

A)
B)
C)
D)

Question 41

Evaluate Round to the nearest ten-thousandth.

A) 2.5878
B) 1.4443
C) 1.1239
D) 0.6924

Question 42

Evaluate Round to the nearest ten-thousandth.

A) 2.3795
B) 0.5826
C) 1.7165
D) 1.0334

Question 43

Express as a single logarithm.

A)
B)
C)
D)

Question 44

Solve for x: Round to the nearest hundredth.

A) -2.97
B) -2.99
C) -2.94
D) -3.00

Question 45

Express as a single logarithm.

A)
B)
C)
D)

Question 46

Graph:

A)
B)
C)
D)

Question 47

Solve for x: Round to the nearest ten-thousandth.

A) -1.6610
B) 1.5000
C) -0.6021
D) -0.6000

Question 48

Express as a single logarithm.

A)
B)
C)
D)

Question 49

Express as a single logarithm.

A)
B)
C)
D)

Question 50

Evaluate Round to the nearest ten-thousandth.

A) -0.2924
B) -1.6316
C) -0.6733
D) -0.6129

Question 51

Express as a single logarithm.

A)
B)
C)
D)

Question 52

Graph:

A)
B)
C)
D)

Question 53

Express as a single logarithm.

A)
B)
C)
D)

Question 54

Evaluate Round to the nearest ten-thousandth.

A) 0.8614
B) 1.1610
C) 0.6021
D) 1.3863

Question 55

Graph:

A)
B)
C)
D)

Question 56

Express as a single logarithm.

A)
B)
C)
D)

Question 57

Graph:

A)
B)
C)
D)

Question 58

Evaluate Round to the nearest ten-thousandth.

A) -0.7268
B) -0.7985
C) -1.3758
D) -0.3468

Question 59

Express as a single logarithm.

A)
B)
C)
D)

Question 60

Solve for x: Round to the nearest ten-thousandth.

A) 0.3869
B) 0.3333
C) 2.5850
D) 3.0000

Question 61

Find the pH level of a solution which has a hydrogen ion concentration of Use the equation where H⁺ is the hydrogen ion concentration of a solution. Round to the nearest tenth.

A) 4.4
B) 6.4
C) 10.1
D) -4.4

Question 62

Find the number of decibels of sound. The power of the sound is about Use the equation D = 10(log I +16), where D is the number of decibels of sound and I is the power of the sound measured in watts. Round to the nearest whole number.

A) 65 decibels
B) 75 decibels
C) 55 decibels
D) 28 decibels

Question 63

Use the compound interest formula , where P is the original amount of the investment, i is the interest rate per compounded period, n is the total number of compounding periods, and A is the value of the investment after n periods. An investment broker deposits $1400 into an account that earns 4.4% annual interest compounded quarterly.
What is the dollar value of the investment after 7 years? Round to the nearest dollar.

A) $ 4675
B) $ 1902
C) $ 1892
D) $ 1511

Question 64

Solve for x: Round to the nearest ten-thousandth.

A) 1.0000
B) 0.4421
C) -1.3869
D) 2.6131

Question 65

Solve for x: Round your answer to 4 decimal places.

A) 8.5428
B) 11.5428
C) 6.0285
D) No solutions

Question 66

Solve for x:

A)
B) No solutions
C)
D)

Question 67

The amount of light, P, expressed as a decimal, passing through a substance of thickness d, in meters, is given by the equation log P = -kd, where k is a constant.
The constant k for a piece of stained glass is 17. What percent of light will pass through a piece of glass that is 0.003 m thick?
Round to the nearest tenth.

A) 1.1 %
B) 88.9 %
C) 8.9 %
D) 0.9 %

Question 68

Solve for x:

A) 8
B) 2
C) -2
D) No solutions

Question 69

Solve for x: .

A)
B)
C)
D)

Question 70

Use the compound interest formula , where P is the original amount of the investment, i is the interest rate per compounded period, n is the total number of compounding periods, and A is the value of the investment after n periods. To save for post-secondary tuition, a parent invests $8000 in a mutual fund that earns interest at the rate of 5.9% per year compounded monthly.
In approximately how many years will the investment be worth $13,700? Round to the nearest year.

A) 8 years
B) 4 years
C) 14 years
D) 9 years

Question 71

Solve for x: .

A)
B)
C)
D) No solutions