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Final Review Unit 9 Logarithm

Total questions: 9

Worksheet time: 17mins

Name
Class
Date
1.

Evaluate the following logarithm:


log327

a)

3

b)

2

c)

-3

d)

1/3

2.

Solve for x
log2x\log_2x   = 1/2

a)

2\sqrt{2}  

b)

-2

c)

-1

d)

1

3.
Evaluate: log644
a)
3
b)
-3
c)
d)
-⅓
4.
Expand ln xy2z3
a)
6(lnx + lny - lnz)
b)
lnx + 2lny - 3lnz
c)
lnx + (1/2)lny + (1/3)lnz
d)
lnx + 2lny + 3lnz
5.

log(8xyz) \log\left(\frac{8x}{yz}\right)\  

a)

log8+logx-logy-logz

b)

log8+logx-logy+logz

c)

log(8x)-log(yz)

d)

8logx-ylogz

6.

Solve: 256=8(2)x11256=8\left(2\right)^{x-11}

a)

32

b)

5

c)

16

d)

-6

7.

Solve: log3(x5)=2\log_3\left(x-5\right)=2  

a)

25

b)

5

c)

130

d)

14

8.

log1000\log_{ }1000  

a)

3

b)

0

c)

1

d)

4

9.

log3243=\log_3243=  

a)

4

b)

5

c)

6

d)

7