Properties of Logarithms Review

Condense.

• log₂x²y¹⁰

• log₂x²+log₂y¹⁰

• log₂x²/y¹⁰

• log₂10xy

Use the change of base formula and your calculator to approximate the log.

• A

• B

• C

• D

Evaluate.

log₆ (¹/₂₁₆) = x

• 3

• ¹/₃

• -¹/₃

• -3

Expand log₅(u³v⁵)

• 1/2(log₅u+log₅v+log₅uw)

• 5 log₅ u - 15 log₅ v 

• log₅u + log₅v +3 log₅w

• 3 log₅u + 5 log₅v

log₂800 - log₂100

• 8

• 3

• -3

• 1

Write as one logarithm. Simplify, if possible.
log₆3 + log₆2

• 0

• log₆5

• log₆1

• 1

Condense

• A

• B

• C

• D

log(x+6) = 1

• 4

• 4.222

• -5

• -9.550

Logarithms are the inverse of ___________.

• Linear

• Quadratics

• Cubes

• Exponential