Write as sum of differences of logarithms Express powers as

Write as sum of differences of logarithms. Express powers as factors.

Log₃ (uv² / 5w)

u > 0 v > 0 w < 0

Solution

log ₃ ( uv^2 / 5w )

applying log property ( quotient property )

log ₃ (uv^2) - log 3 ( 5w )

applying log multiplication property

log ₃ u + 2 log ₃ v - log ₃ (5w)