Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x, and log y.

log x^3 y^4

log x³ y⁴ = 3 log (x) + 4 log (y)

Step-by-step explanation:

Given function log x³ y⁴

step (i) : -

Applying logarithmic formula

log (a b) = log (a) + log (b)

log x³ y⁴ = log (x³) + log (y⁴)

step (ii) : -

Applying logarithmic formula

log (x ⁿ) = n log x

log x³ y⁴ = log (x³) + log (y⁴)

log x³ y⁴ = 3 log (x) + 4 log (y)

final answer:-

log x³ y⁴ = 3 log (x) + 4 log (y)