Free Printable Log Practice #1

Free Printable Worksheets

Worksheets

Log Practice #1

Total questions: 19

Worksheet time: 17mins

Name

Class

Date

1.

Rewrite in exponential form:

log₉x=2

a)

9^x=2

b)

2^x=9

c)

2⁹=x

d)

9²=x

2.

Write 6^x = 8 in log form.

a)

log₆ 8 = x

b)

log₈ 6 = x

c)

log₆ x = 8

d)

log₈ x = 6

3.

Write 5^x =10 in log form

a)

x = log 5

b)

x = log₅10

c)

x = 5 log10

d)

x = 10 log 5

4.

Rewrite log₃t = 5 in exponential form.

a)

5^t=3

b)

log₃5 = log₃t

c)

t⁵=3

d)

3⁵=t

5.

Rewrite log_vn = a in exponential form.

a)

v^a = n

b)

n^a = v

c)

vⁿ = a

d)

aⁿ = v

6.

Write in logarithmic form:

a^b = c

a)

log _a c = b

b)

log _b c = a

c)

log _a b = c

d)

log _b a = c

7.

Change to logarithmic form.

3^h = w

a)

log_w3 = h

b)

log₃w = h

c)

log_h3 = w

d)

log₃h = w

8.

Convert 3^x = 12 to the equivalent log form.

a)

3¹² = x

b)

log_x3 = 12

c)

log₃x = 12

d)

log₃ 12 = x

9.

Change to exponential form.

log_a2 = 5

a)

a²= 5

b)

5² = a

c)

a⁵= 2

d)

2⁵ = a

10.

Write 3 = 7^x in log form.

a)

log₇ 3 = x

b)

log₃ 7 = x

c)

log₇ x = 3

d)

log₃ x = 7

11.

Rewrite 3⁴ = 81 in logarithmic form.

a)

log₃4 = 81

b)

log₈₁3 = 4

c)

log₃81 = 4

d)

log₄81 = 3

12.

Rewrite log₂8 = 3 in exponential form.

a)

2⁸ = 3

b)

2³ = 8

c)

3² = 8

d)

8³ = 2

13.

Change to Exponential Form:
log₆36 = 2

a)

2⁶=36

b)

6²=36

c)

36²=6

d)

36⁶=2

14.

Change to Logarithmic Form:
5³ = 125

a)

log ₅ 125 = 3

b)

log₃125 = 5

c)

log ₅ 3 =125

d)

log₁₂₅ 3 = 5

15.

log₁₃169=2

a)

2¹³= 169

b)

13² = 169

c)

169² = 13

d)

13¹⁶⁹ = 2

16.

log_n117 = 11

a)

n¹¹= 117

b)

11ⁿ = 117

c)

117ⁿ = 11

d)

n¹¹⁷ = 11

17.

log_nm= -2

a)

n^-2 = m

b)

m^-2 = n

c)

-2ⁿ = m

d)

mⁿ = -2

18.

14² = 196

a)

log₁₄196 = 2

b)

log₂ 14 = 196

c)

log₂ 196 = 14

d)

log₁₄ 14 = 2

19.

n^m = 156

a)

log_n 156 = m

b)

log_n m = 156

c)

log_m 156 = n

d)

log_n 16 = n

Reset

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