Free Printable Unit 7 HW 2 (Alg 2)

1.

Change the following exponential equation into a log equation:

2^5=32

a)

$\log_25=32$

b)

$\log_{32}5=2$

c)

$\log_232=5$

d)

I hate logs. Nobody likes them.

2.

Change this log equation into an exponential equation:

3^4=81

a)

$\log_34=81$

b)

$\log_381=4$

c)

$\log_{81}3=4$

d)

3 frogs sat on 4 logs and floated away from 81 dogs

3.

find the answer to the following expression:

\log_5625

a)

125

b)

5

c)

7

d)

4

4.

Write in logarithmic form.
2^-4 = ¹/₁₆

a)

log₂(¹/₁₆) = -4

b)

log_-4(¹/₁₆) = 2

c)

log_-4 2 = ¹/₁₆

d)

log₂(-4) = ¹/₁₆

5.

Write in exponential form.
log₂32 = 5

a)

2^-5 = 32

b)

2³² = 5

c)

2⁵ = 32

d)

32⁵ = 2

6.

log₄1 =

a)

0

b)

1

c)

4

d)

DNE

7.

Use the change of base formula and your calculator to approximate the log.

a)

A

b)

B

c)

C

d)

D

8.

Select all options equivalent to:

log_3.52

a)

ln 3.5 / ln 2

b)

0.5533

c)

log 2 / log 3.5

d)

1.8074

9.

The common logarithm has what base?

a)

10

b)

0

c)

e

d)

-e

10.

a)

0

b)

1

c)

-3

d)

3

Unit 7 HW 2 (Alg 2)

Total questions: 10

Worksheet time: 30mins

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