Free Printable Evaluate Logarithms

1.

Rewrite log₂8 = 3 in exponential form

a)

2⁸ = 3

b)

2³ = 8

c)

3² = 8

d)

8³ = 2

2.

Rewrite the equation into logarithmic form:
6² = 36

a)

log₆ 2 = 36

b)

log₆ 36 = 2

c)

ln 36 = 2

d)

6³⁶ = 2

3.

Write in logarithmic form

2^-4 = ¹/₁₆

a)

log₂(¹/₁₆) = -4

b)

log_-4(¹/₁₆) = 2

c)

log_-4 2 = ¹/₁₆

d)

log₂(-4) = ¹/₁₆

4.

To evaluate a logarithm statement log₉81, you think "9 to what power is 81".

a)

True, and it's 2

b)

False

5.

Evaluate the log by thinking " 3 to what power is 1/9" so

log₃(1/9) =

a)

1/2

b)

2

c)

-2

d)

3

6.

Evaluate log_b(b)

a)

-1

b)

0

c)

1

d)

b

7.

log₅25 = ?

a)

2

b)

5

c)

125

8.

The base of common log is 10. So log 100 = ?

a)

1

b)

2

c)

10

d)

50

9.

Evaluate the following logarithm:

log₈√8

a)

-¹/₂

b)

-1

c)

1

d)

¹/₂

10.

Evaluate the following logarithm:

log₁₂1

a)

1

b)

0

c)

-1

d)

¹/₂

11.

Evaluate the following logarithm:

log₁₅1

a)

1

b)

0

c)

-1

d)

¹/₂

12.

Evaluate.
log₃81

a)

4

b)

¹/₄

c)

-4

d)

-¹/₄

13.

Evaluate the following logarithm:

log₃27

a)

3

b)

2

c)

-3

d)

¹/₃

14.

Evaluate the following logarithm:

log₃(¹/₃)

a)

-2

b)

-¹/₂

c)

-1

d)

¹/₂

15.

Solve for x: log₂ x = 5

a)

4

b)

12

c)

32

d)

64

16.

Solve for x: log_x 64 = 3

a)

4

b)

12

c)

32

d)

64

17.

Evaluate the logarithm:

$\log_216$

18.

Match each equation in logarithmic form to the corresponding exponential form.

a)

$\log_2 8 = x$

1.

$2^x = 8$

b)

$\log_5 125 = x$

2.

$5^x = 125$

c)

$\log_2x=8$

3.

$2^8=x$

d)

$\log_4 64 = x$

4.

$4^x = 64$

e)

$\log_5x=125$

5.

$5^{125}=x$

Evaluate Logarithms

Total questions: 18

Worksheet time: 27mins

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