Free Printable Log Test Review (Ch 5)

1.

Solve

a)

A

b)

B

c)

C

d)

D

2.

Solve

a)

A

b)

B

c)

C

d)

D

3.

Solve

a)

A

b)

B

c)

C

d)

D

4.

Solve

a)

A

b)

B

c)

C

d)

D

5.

Are they inverses?

a)

No

b)

Yes

6.

Solve

a)

A

b)

B

c)

C

d)

D

7.

Solve

a)

A

b)

B

c)

C

d)

D

8.

Solve

a)

A

b)

B

c)

C

d)

D

9.

Write as the sum and difference of logs (EXPAND)

a)

A

b)

B

c)

C

d)

D

10.

Solve

a)

A

b)

B

c)

C

d)

D

11.

Pick the equation that matches the graph

a)

A

b)

B

c)

C

d)

D

12.

Solve

a)

A

b)

B

c)

C

d)

D

13.

Does the graph represent an exponential growth or an exponential decay function?

a)

Exponential Growth

b)

Exponential Decay

14.

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
What does the value 12 represent?

a)

The predicted increase in number of elephants in the refuge each year.

b)

The predicted decrease in number of elephants in the refuge each year.

c)

The number of years it will take for the elephant population to stop increasing.

d)

The initial amount of elephants in the park.

15.

The carrying capacity of a population growing logistically is the largest population the environment can support.

a)

True

b)

False

16.

$f\left(x\right)=\frac{45}{1+15e^{-1.3x}}$ Using the given function, what is the horizontal asymptote(s)

a)

y=0

b)

y=45

c)

y=15

d)

y=0 and y=45

17.

What is the carrying capacity for this sheep population?

a)

1.8 million

b)

1.25 million

c)

1.6 million

d)

1.o million

18.

g(x) is pictured. Over which interval is g(x) apparently concave down?

a)

(-infinity, 4)

b)

(-infinity, 1)

c)

(-infinity, infinity)

d)

(-infinity, 4)(4, infinity)

19.

f(x) is pictured. Inflection points are most likely at which x values?

a)

x=0 and 1.5

b)

x=2 and 2.5

c)

x=2.25

d)

x=1

20.

The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.

a)

y=1400(1.09)^x

b)

y=1.09(1400)^x

c)

y=1400(.91)^x

d)

y=1.09^x

21.

Compound Interest
You put $547 into an investment at 5% compounded quarterly for two years. What will the balance be at the end of two years?

a)

$332.34

b)

$487.86

c)

$504.18

d)

$604.15

22.

Determine the rate that represents the better deal.

a)

3.6% interest rate compounded daily

b)

3.5% interest rate compounded continuously

23.

Determine the rate that represents the better deal.

a)

9% interest rate compounded quarterly

b)

9.25% interest rate compounded annually

24.

Dylan is planning ahead to buy a car when he turns 16. Dylan just received $500 for his 12th birthday. When will Dylan have $2000 for a down payment on his car if he places his birthday money in a Money Market certificate at 12% compounded monthly?

Type your answer rounded to the nearest hundredth.

(a)

25.

How many years will it take for an initial investment of $25,000 to grow to $80,000 at a rate of 7% compounded continuously?

Type your answer rounded to the nearest hundredth.

(a)

26.

Graph $\log_7\left(x\ -\ 2\right)$

a)

b)

c)

d)

27.

graph $\log_7\left(x+2\right)+3$

a)

b)

c)

d)

28.

graph $\log_2\left(x+1\right)$

a)

b)

c)

d)

29.

What is the equation of the graph?

a)

$y=\log_3\left(x-1\right)+3$

b)

$y=\log_3\left(x+1\right)+3$

c)

$y=\log_3\left(x-1\right)+2$

d)

$y=\log_3\left(x-1\right)-2$

30.

What is the equation of the graph?

a)

$y=\log_4\left(x-2\right)+1$

b)

$y=\log_4\left(x+2\right)-1$

c)

$y=\log_4\left(x-2\right)-1$

d)

$y=\log_4\left(x+2\right)+1$

31.

Find the asymptote for the following.

a)

x = -1

b)

x = 1

c)

y = 5

d)

y = -5

32.

The inverse function of an exponential function is known as a...?

a)

quadratic function

b)

square root function

c)

absolute value function

d)

logarithmic function

33.

List the range for the following.

a)

(-∞,∞)

b)

(-1, ∞)

c)

(5,∞)

d)

(1, ∞)

34.

Solve: 9^8-x = 27^x-3

a)

x = 5

b)

x = -5

c)

x = 1/5

d)

x = -1/5

35.

Solve for x:
5^x = 17

a)

x = log₁₇5

b)

x = log 5 + log 17

c)

x = log₅17

d)

x = (log 5)/(log 17)

36.

Use a LOG to solve the exponential function.
2^x-1 + 5 = 20

a)

x = 3.91

b)

x = -0.46

c)

x = 4.91

d)

x = 5.31

37.

Expand: log (x²y³)

a)

2log x - 3 log y

b)

3log x + 2 log y

c)

6 log xy

d)

2log x + 3 log y

38.

You want to solve for x. Which of these is the correct "step 1"?

a)

$\log_78=\log_7x$

b)

$\log_742=\log_7x$

c)

$\log_748=\log_7\left(\frac{x}{6}\right)$

d)

$\log_754=\log_7x$

39.

Solve for x.
$2\log_410=\log_4\left(8x\right)+\log_4\left(5\right)$

a)

x = 2.5

b)

x = 0.5

c)

x = 1.538

d)

x = 11.875

40.

The formula $P=14.7e^{-0.21x}$ gives the average atmospheric pressure P in pounds per square inch (lb/sq. in), at an altitude x in miles above sea level. Find the elevation at which the average atmospheric pressure in 8.4 lb/sq. in.

a)

2.665

b)

3.122

c)

1.455

d)

5.239

41.

Solve $\ln\left(3x-5\right)=6$

a)

136.143

b)

129.674

c)

150.578

d)

146.134

42.

Solve for x: $\log\left(x+9\right)+\log x=\log22$

a)

2, -11

b)

2

c)

-11

d)

11

Log Test Review (Ch 5)

Total questions: 42

Worksheet time: 11hrs 30mins

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