Log Properties and Equations

Expand.

• log x + 5 log y

• 5 log x + 5 log y

• 5 log x - log y

• log x - 5 log y

log₂(x + 5) = 3

• 3

• 4

• 5

• 6

log (x) + log (x) = log (25)

• -5, 5

• 5

• -5

• 25

Expand.

• log x + log y + log z

• 1/3 log x + 1/3 log y + 1/3 log z

• 1/3 log x - 1/3 log y - 1/3 log z

• 3 log x + 3 log y + 3 log z

Condense

• log16x⁷

• log64x⁶

• log16x⁶

• log64x⁷

Write as one logarithm. Simplify, if possible.

log₃9 + log₃27

• log₃3

• log₃243

• log₃1/3

• not possible

Use the properties of Logs to rewrite the logarithmic expression as a single logarithm with the same base.

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Condense to a single logarithm.

• ln x⁴/ y

• ln xy⁴

• ln x/ y⁴

• ln x⁴/ y⁴