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Chapter 7 Practice Test

Total questions: 12

Worksheet time: 15mins

Name
Class
Date
1.

Evaluate without using a calculator.

log3243

a)

81

b)

5

c)

6

d)

1/81

2.

Evaluate without using a calculator.

log71

a)

0

b)

1

c)

7

d)

no solution

3.

Evaluate without using a calculator.

log1/6216

a)

1296

b)

36

c)

3

d)

-3

4.

Evaluate without using a calculator.

log125(1/5)

a)

-25

b)

25

c)

-1/3

d)

1/3

5.

Expand the expression.

ln 10x3y

a)

3 (ln 10 + ln x + ln y)

b)

ln 10 + ln x3 + ln y

c)

ln 10 + 3 ln x + ln y

d)

ln 10 + ln 3 + ln x + ln y

6.

Expand the expression.

ln (3y/x5)

a)

ln 3y - ln x5

b)

ln 3 + ln y - 5 ln x

c)

ln 3y - 5 ln x

d)

5 (ln 3 + ln y - ln x)

7.

Condense the expression.

ln 12 - 2 ln x

a)

ln (10/x)

b)

ln 10x

c)

ln 12x2

d)

ln (12/x2)

8.

Condense the expression.

2 ln 3 + 5 ln 2 - ln 8

a)

10 ln (-3)

b)

ln 7.5

c)

ln 36

d)

ln 2304

9.

Use the change-of-base-formula to evaluate the logarithm to the nearest thousandths place.

log945

a)

5.000

b)

1.732

c)

1.733

d)

0.577

10.

Solve the equation. Check for extraneous solutions, if necessary.

81 3-x = (1/3) 5x-6

a)

-6

b)

6

c)

-1.5

d)

1.5

11.

Solve the equation. Check for extraneous solutions, if necessary. Round to the nearest thousandths place.

-3e2x + 16 = 5

a)

2.5986

b)

2.599

c)

0.650

d)

0.6496

12.

Solve the equation. Check for extraneous solutions, if necessary.

log2x + log2(x - 2) = 3

a)

-2, 4

b)

4

c)

-2

d)

3