USE PROPERTIES OF LOGARITHMS TO REWRITE THE EXPRESSION WORKSHEET

Write as a single logarithm in the form log k:

Problem 1 :

log 6 + log 5

Solution

Problem 2 :

log 10 - log 2

Solution

Problem 3 :

2 log 2 + log 3

Solution

Problem 4 :

log 5 - 2 log 2

Solution

Problem 5 :

1/2 log 4 - log 2

Solution

Problem 6 :

log 2 + log 3 + log 5

Solution

Problem 7 :

log 20 + log (0.2)

Solution

Problem 8 :

- log 2 - log 3

Solution

Problem 9 :

3 log (1/8)

Solution

Problem 10 :

4 log 2 + 3 log 5

Solution

Problem 11 :

6 log 2 - 3 log 5

Solution

Problem 12 :

1 + log 2

Solution

Problem 13 :

1 - log 2

Solution

Problem 14 :

2 - log 5

Solution

Problem 15 :

3 + log 2 + log 7

Solution

Answer Key

1)  log 30

2)  log 5

3)  log 12

4)   log (5/4)

5)  0

6)   log 30

7)  2 log 2

8)   - log 6

9)  -9 log 2

10)  log 2000

11)  log (64/125)

12)   log 20

13)  log 5

14)   log 20

15)  log (14000)

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