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Evaluating and Converting Logarithms

Total questions: 13

Worksheet time: 13mins

Name
Class
Date
1.

Write in exponential form:

log 2 32 = 5

a)

25 = 32

b)

52 = 32

c)

532 = 2

d)

232 = 5

2.

log 3 6561 = 8

a)

38 = 6561

b)

83 = 6561

c)

36561 = 8

d)

86561 = 3

3.

Write in logarithmic form:
2-1 = 0.5

a)

log 2 0.5 = -1

b)

log -1 0.5 = 2

c)

log 2 -1 = 0.5

d)

log -1 2 = 0.5

4.

Write in logarithmic form:
92 = 81

a)

log 9 81 = 2

b)

log 2 81 = 9

c)

log 9 2 = 81

d)

log 2 9 = 81

5.

Write in logarithmic form:
45 = 1024

a)

log 4 1024 = 5

b)

log 5 1024 = 4

c)

log 4 5 = 1024

d)

log 5 4 = 1024

6.

Evaluate log41

a)

1

b)

0

c)

4

d)

undefined

7.

Evaluate log525

a)

2

b)

5

c)

125

8.

Evaluate.
log6(1/216)

a)

3

b)

1/3

c)

-1/3

d)

-3

9.

Solve for x:
log4 x = 3

a)

4

b)

12

c)

32

d)

64

10.

Evaluate
log6 (1/6)

a)

- 1/6

b)

1/6

c)

-1

d)

1

11.

Evaluate: log644

a)

3

b)

-3

c)

d)

-⅓

12.

log 3 9 =

a)

1/2

b)

2

c)

1/3

d)

3

13.

log 25 5 =

a)

1/2

b)

2

c)

1/5

d)

5