Free Printable Exponents and Logarithms

1.

Change to logarithmic form.

3^h = w

a)

log_w3 = h

b)

log₃w = h

c)

log_h3 = w

d)

log₃h = w

2.

Evaluate.

log₂8

a)

2

b)

3

c)

4

d)

8

3.

Evaluate.

log₃(1/9)

a)

3

b)

-3

c)

2

d)

-2

4.

Solve for x.

4^2x = 8

a)

x = 3

b)

x = 4

c)

x = 3/4

d)

x = 4/3

5.

Solve for w.

6³ ⋅ 6^w = 36

a)

-3/2

b)

2/3

c)

-1

d)

5

6.

Solve for x.

log₂4x = log₂(2x+5)

a)

5/6

b)

6/5

c)

2/5

d)

5/2

7.

Solve for k.

log₃5 + log₃k = log₃10

a)

k = 1

b)

k = 2

c)

k = 3

d)

k = 4

8.

Solve for x.

log₄x − log₄2 = log₄10

a)

5

b)

-5

c)

1/5

d)

20

9.

$\frac{4^x}{2^2}=8$
Solve for x.

a)

$\frac{5}{2}$

b)

$\frac{2}{5}$

c)

3

d)

8

e)

4

10.

$\log_m2=c$
Change to exponential form.

a)

$m^c=2$

b)

$2^c=m$

c)

$c^m=2$

d)

$m^2=c$

Exponents and Logarithms

Total questions: 10

Worksheet time: 6mins

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