Deck 3: Exponential and Logarithmic Functions

Question 1

Answer 1

E

Question 2

Determine whether the scatter plot below could best be modeled by a linear model, a quadratic model, an exponential model, a logarithmic model, or a logistic model.

A) a linear model
B) a quadratic model
C) a logistic model
D) an exponential model
E) a logarithmic model

Answer 2

B

Question 3

Answer 3

C

Question 4

Question 5

Solve the equation below algebraically.

A) -8 and 4
B) 4 and 5
C) -8 and 5
D) 0 and 5
E) -8 and 0

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Solve for . Round to 3 decimal places.

A) 3.079
B) 2.079
C) 1.386
D) 2980.958
E) no solution

Question 18

Question 19

Question 20

Question 21

Solve the logarithmic equation below algebraically. Round your result to three decimal places.

A) 8.318
B) 10.682
C) 12.182
D) 15.377
E) 11.366

Question 22

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

A) 0.545
B) 0.037
C) 6.645
D) -40.366
E) 0.000

Question 23

Question 24

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

A) -1.556
B) 1.709
C) 0.706
D) 1.416
E) -0.676

Question 25

Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume all variables are positive.)

Question 26

Determine whether or not

A) yes
B) no

Question 27

Solve the exponential equation below algebraically. Round your result to three decimal places.

Question 28

Simplify the expression below.

Question 29

Question 30

Question 31

Question 32

Question 33

Solve the logarithmic equation below algebraically. )

A) 3
B) -2
C) -4
D) 2
E) 1

Question 34

Condense the expression below to the logarithm of a single quantity.

Question 35

Solve the exponential equation below algebraically. Round your result to three decimal places.

Question 36

Question 37

Find the exact value of without using a calculator.

A) 0.75
B) 3
C) 1
D) 2
E) 1.5

Question 38

Find the exact value of the logarithm without using a calculator, if possible.

Question 39

Question 40

Solve the equation below algebraically. Round your result to three decimal places.

A) 0.862
B) -0.821
C) 1.855
D) -1.217
E) 0.607

Question 41

Question 42

Question 43

Solve the logarithmic equation below algebraically. Round your result to three decimal places.

Question 44

Determine whether the scatter plot below could best be modeled by a linear model, a quadratic model, an exponential model, a logarithmic model, or a logistic model.

A) a logistic model
B) an exponential model
C) a linear model
D) a logarithmic model
E) a quadratic model

Question 45

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

A) 4.836
B) 0.402
C) 2.485
D) 9.411
E) 2.100

Question 46

Question 47

Question 48

Solve the equation below algebraically. Round your result to three decimal places.

A) 0.607
B) 0.000
C) -2.009
D) 2.086
E) -1.058

Question 49

Question 50

The sales S (in thousands of units) of a cleaning solution after x hundred dollars is spent on advertising are given by When $450 is spent on advertising, 2500
Units are sold. Complete the model by solving for k and use the model to estimate the
Number of units that will be sold if advertising expenditures are raised to $650. Round
Your answer to the nearest unit.

A) 3508 units
B) 6401 units
C) 2160 units
D) 5663 units
E) 8787 units

Question 51

A conservation organization releases 100 animals of an endangered species into a game preserve. The organization believes that the preserve has a carrying capacity of 900
Animals and that the growth of the herd will follow the logistic curve where t is measured in months. What is the population after 8
Months? Round your answer to the nearest animal.

A) 23 animals
B) 243 animals
C) 159 animals
D) 308 animals
E) 246 animals

Question 52

Question 53

Question 54

Solve the equation below for x.

Question 55

1

A) yes
B) no

Question 56

Question 57

Question 58

Question 59

Question 60

Question 61

A) 73.688 grams
B) 74.096 grams
C) 49.524 grams
D) 1.312 grams
E) 37.524 grams

Question 62

Solve the exponential equation below algebraically. 5

A) -6 and -1
B) -5 and -1
C) -6 and -5
D) -5 and 6
E) -1 and 6

Question 63

Question 64

Question 65

Solve the equation f ()xg= ()x algebraically.

A) 5
B) 4
C) -4
D) -5
E) 2

Question 66

Solve the exponential equation below algebraically. Round your result to three decimal places.

A) 86.873
B) 99.967
C) 111.803
D) 97.718
E) 87.344

Question 67

Question 68

Determine whether or not

Question 69

Question 70

Solve the logarithmic equation below algebraically. Round your result to three decimal places.

Question 71

Question 72

Determine whether the scatter plot below could best be modeled by a linear model, a quadratic model, an exponential model, a logarithmic model, or a logistic model.

A) a linear model
B) a quadratic model
C) a logistic model
D) an exponential model
E) a logarithmic model

Question 73

Solve the exponential equation below algebraically. Round your result to three decimal places.

A) 2.697
B) 2.883
C) 3.303
D) -1.086
E) 0.693

Question 74

Determine whether the scatter plot below could best be modeled by a linear model, a quadratic model, an exponential model, a logarithmic model, or a logistic model.

A) a logistic model
B) an exponential model
C) a linear model
D) a logarithmic model
E) a quadratic model

Question 75

Solve the exponential equation below algebraically. Round your result to three decimal places.

A) -704.498
B) -695.069
C) -682.289
D) -683.876
E) -707.153

Question 76

Question 77

Question 78

Solve for x.

A) 1
B) −1
C) −3
D) −4
E) no solution

Question 79

Solve the logarithmic equation below algebraically. Round your result to three decimal places.

A) 38.489
B) 28.421
C) 3.668
D) 74.354
E) 58.598

Question 80

A) 4.54 kilometers
B) 10.88 kilometers
C) 7.44 kilometers
D) 9.07 kilometers