EXPANDING LOGARITHIMC EXPRESSIONS WORKSHEET

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

Problem 1 :

log x²y

Problem 2 :

Problem 3 :

log xyz

Problem 4 :

Problem 5 :

Expand each logarithm.

Problem 6 :

Problem 7 :

log₆(u⁴v⁴)

Problem 8 :

Problem 9 :

log₄(u⁶v⁵)

Problem 10 :

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 log_y y