EXPANDING LOGARITHIMC EXPRESSIONS WORKSHEET

Write the following expressions in terms of logs of x, y and z.

Problem 1 :

log x2y

Solution

Problem 2 :

log x3y2z

Solution

Problem 3 :

log xyz

Solution

Problem 4 :

log xyz

Solution

Problem 5 :

logxy2

Expand each logarithm.

Solution

Problem 6 :

logu2v3

Solution

Problem 7 :

log6(u4v4)

Solution

Problem 8 :

log5 38711

Solution

Problem 9 :

log4(u6v5)

Solution

Problem 10 :

log3x4y3

Solution

Answer Key

1)   2 log10 x + log10 y

2)  3 log x + 2 log y - log z

3)  log10 x + log10 y + log10 z

4)  log10 x - log10 y - log10 z

5)  2 (log10 x - log10 y)

6)  3[2 log10 u - log10 v]

7)   4 log6 u + 4 log6 v

8)  (1/3) log5 616

9)  6 log4 u + 5 log4 v

10)  12 log3 x - 3 logy y

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