1. Simplify log₃(9·27)

2. Simplify log₅(125/25)

3. Simplify log₂(16²)

4. True or False: logₐ(M·N) = logₐ(M) − logₐ(N)

5. Rewrite log₄(64) using base 2

Answer Key

1. log₃(9) + log₃(27) = 2 + 3 = 5

2. log₅(125) − log₅(25) = 3 − 2 = 1

3. 2·log₂(16) = 2·4 = 8

4. False

5. log₂(64) / log₂(4) = 6 / 2 = 3