Free Printable logarithm

1.

Logarithmic functions are the inverse of...

a)

Linear Functions

b)

Exponential Functions

c)

Quadratic Functions

d)

Polynomial Functions

2.

Rewrite 3⁴ = 81 in logarithmic form.

a)

log₃4 = 81

b)

log₈₁3 = 4

c)

log₃81 = 4

d)

log₄81 = 3

3.

Write 2³= 8 in logarithmic form.

a)

log₂ 8 = 3

b)

log₂ 3 = 8

c)

log₃ 8 = 2

d)

log₃ 2 = 8

4.

Write 10⁴= 10000 in logarithmic form.

a)

log₁₀ 4 = 10000

b)

log₁₀₀₀₀ 4 = 10

c)

log₁₀ 10000 = 4

d)

log₄ 10000 = 10

5.

The common logarithm has what base?

a)

10

b)

0

c)

e

d)

-e

6.

Rewrite log₂8 = 3 in exponential form.

a)

2⁸ = 3

b)

2³ = 8

c)

3² = 8

d)

8³ = 2

7.

Rewrite log_pt = m in exponential form.

a)

p^t = m

b)

t^m = p

c)

m^t = p

d)

p^m = t

8.

Write log₆ 216 = 3 in exponential form.

a)

3⁶=216

b)

6³=216

c)

216⁶=3

d)

3²¹⁶=6

9.

Evaluate log_b(b)

a)

-1

b)

0

c)

1

d)

b

10.

log₅25 = ?

a)

2

b)

5

c)

125

d)

10

11.

Evaluate log₇ 343

a)

3

b)

49

c)

7

d)

1

12.

Change $\log_5⁡7$ into the form of $\frac{\log_3⁡a}{\log_3⁡b}$ , where $a$ and $b$ are integers

a)

$\frac{\log_3⁡5}{\log_3⁡7}$

b)

$\frac{\log_3⁡7}{\log_3⁡5}$

13.

Change $\log_{12}⁡2$ into the form of $\frac{\log_5⁡a}{\log_5b}$ , where $a$ and $b$ are integers

a)

$\frac{\log_512}{\log_52}$

b)

$\frac{\log_5⁡2}{\log_5⁡12}$

14.

Use the change of base rule to rewrite this problem:

log₅75

a)

log(75)/log(5)

b)

log(5)/log(75)

15.

Use the change of base rule to rewrite this problem:

log₆216

a)

log(6)/log(216)

b)

log(216)/log(6)

logarithm

Total questions: 15

Worksheet time: 17mins

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