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Worksheets

Logarithmic Functions

Total questions: 10

Worksheet time: 3mins

Name
Class
Date
1.

Rewrite 34 = 81 in logarithmic form.

a)

log34 = 81

b)

log813 = 4

c)

log381 = 4

d)

log481 = 3

2.

Rewrite logpt = m in exponential form.

a)

pt = m

b)

tm = p

c)

mt = p

d)

pm = t

3.

log525 = ?

a)

2

b)

5

c)

125

d)

10

4.

Evaluate: log416

a)

2

b)

4

c)

1/2

d)

-2

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.

Write in exponential form:

log 2 32 = 5

a)

232 = 5

b)

532 = 2

c)

52 = 32

d)

25 = 32

7.

Solve for x:

log4 x = 3

a)

4

b)

12

c)

64

d)

32

8.

What is the base of a common logarithm?

a)

1

b)

10

c)

e

d)

-e

9.

Evaluate logb(b)

a)

b

b)

1

c)

0

d)

-1

10.

Q1. Rewrite log28 = 3 in exponential form.

a)

28 = 3

b)

23 = 8

c)

32 = 8

d)

83 = 2