Free Printable Logarithms

1.

Evaluate the following logarithm:

log₃27

a)

3

b)

2

c)

-3

d)

¹/₃

2.

Evaluate the following logarithm:

log₄16

a)

1

b)

-2

c)

2

d)

¹/₂

3.

Evaluate the following logarithm:

log₅5

a)

1

b)

0

c)

-1

d)

¹/₂

4.

Evaluate.
log₆(¹/₂₁₆)

a)

3

b)

¹/₃

c)

-¹/₃

d)

-3

5.

Rewrite log₂8 = 3 in exponential form

a)

2⁸ = 3

b)

2³ = 8

c)

3² = 8

d)

8³ = 2

6.

Rewrite the equation in logarithmic form.

a)

A

b)

B

c)

C

d)

D

7.

Rewrite in exponential form.

a)

A

b)

B

c)

C

d)

D

8.

a)

f(x) = √x

b)

f(x) = log x

9.

What is the equation for the graph

a)

y=\log_{10}\left(x\right)

b)

$y=\log_5\left(x\right)$

c)

$y=\log_2\left(x\right)$

d)

$y=\log_5\left(-x\right)$

10.

Describe domain of the function shown: y=log₂(x+1)

a)

(-∞,∞)

b)

(-1,∞)

c)

(-1,3)

d)

(∞, -1)

11.

What is the inverse of

c\left(x\right)=\log\left(x\right)

a)

$c^{-1}\left(x\right)=x^e$

b)

$c^{-1}\left(x\right)=\ln x$

c)

$c^{-1}\left(x\right)=x^{10}$

d)

$c^{-1}\left(x\right)=10^x$

12.

What is the inverse of

n\left(x\right)=\ln\left(x\right)

a)

$n^{-1}\left(x\right)=\log e$

b)

$n^{-1}\left(x\right)=x^e$

c)

$n^{-1}\left(x\right)=e^x$

d)

$n^{-1}\left(x\right)=x^{\ln}$

Logarithms

Total questions: 12

Worksheet time: 29mins

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