Free Printable 8.1 Rewriting and Evaluating Logarithms

1.

Evaluate:
log₄16

a)

2

b)

4

c)

1/2

d)

-2

2.

Rewrite log_pt = m in exponential form.

a)

p^t = m

b)

t^m = p

c)

m^t = p

d)

p^m = t

3.

Rewrite 3⁴ = 81 in logarithmic form.

a)

log₃4 = 81

b)

log₈₁3 = 4

c)

log₃81 = 4

d)

log₄81 = 3

4.

Write in exponential form.
log₂32 = 5

a)

2^-5 = 32

b)

2³² = 5

c)

2⁵ = 32

d)

32⁵ = 2

5.

Write in exponential form.
log₂(¹/₈) = -3

a)

2^-3 = ¹/₈

b)

2^1/8= -3

c)

-3² = ¹/₈

d)

-3^1/8 = 2

6.

Solve for x
5^x = 17

a)

x = log₁₇5

b)

x = log 5 + log 17

c)

x = log₅17

d)

x = (log 5)/(log 17)

7.

$Rewrite\ the\ equation\ in\ \log arithmic\ form.$

15^2=225

a)

$\log_{15}225=2$

b)

$\log_{225}15=2$

c)

$\log_2225=15$

d)

$\log_{15}2=225$

8.

$Evaluate\ the\ \exp ression.$

\log_264

a)

$32$

b)

$4$

c)

$3$

d)

$6$

9.

$Evaluate\ the\ \exp ression.$

\log_21

a)

$0$

b)

$1$

c)

$3$

d)

$2$

10.

$Evaluate\ the\ \exp ression.$
$\log_7343$

a)

$3$

b)

$49$

c)

$2$

d)

$-3$

11.

Rewrite in exponential form:

log(10,000)=4.

a)

e⁴=10,000

b)

4^10,000=10

c)

10⁴=10,000

d)

0⁴=10

12.

The natural logarithm has what base?

a)

10

b)

0

c)

e

d)

-e

13.

Rewrite in exponential form:
ln(2) = x

a)

2^x= 10

b)

10² = x

c)

e^x= 2

d)

e² = x

8.1 Rewriting and Evaluating Logarithms

Total questions: 13

Worksheet time: 26mins

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