Write as a single logarithm

Question

3ln(x) - 3/2ln(y) + ln(4)

I got ln(2x³/3) and just wanted to see if I made a mistake.

Answer 1

ln(x³) - (3/2)ln(y) + ln(4) = ln(4x³/(3/2)) = ln((2/3)(4x³) = ln((8x³)/3