log x^3 = 3 log 12 - 2 log 8?

Question

again i need help isolating x. i tried the exponent laws but i got stuck after this line

log x^3 = log 1728 - log64

Answer 1

Solve for x.

log x³ = log 1728 - log 64
log x³ = log(1728 / 64) = log 27 = log 3³

Exponentiate both sides.

x³ = 3³
x = 3