Foundations of Math 3

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Unit 15 Worksheet 1

Date________________ Period____

Expand each logarithm. a×b×c

1) log 3

2) log 7

3 4

3) log 3

() x

y

2

5

4) log 5 (3 × 7

() a b

3

5) log 4 (w u × v )

6) log 9 (u v

4 4

)

)

2 3

Condense each expression to a single logarithm. 7) 2 log 9 x - 4 log 9 y

9)

log 9 x 2

+

log 9 y 2

+

8) 6 log 5 x + 36 log 5 y

log 9 z

10) 2 log 3 x - 4 log 3 y

2

11) log 2 z + 6 log 2 x - 4 log 2 y

12) log 2 b + 4 log 2 c +

log 2 a 3

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Answers to Unit 15 Worksheet 1 1)

log 3 a

+

log 3 b

+

log 3 c

2 2 2 4) 4 log 5 3 + 16 log 5 7

7) log 9 11) log 2

x

2) 2 log 7 x - 10 log 7 y

5) log 4 w +

log 4 u 3

8) log 5 ( y x

2

36 6

)

y

12) log 2 (bc

4 3

log 4 v

6) 2 log 9 u + 3 log 9 v

3 9) log 9

4

y 6 zx

+

3) 12 log 3 a - 4 log 3 b

zyx

10) log 3

x

2

y

4

a)

4

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