Rewrite in[(a/b)^2*x^3] using the properties of logarithms.

expanding the expression using the properties of logarithms, we get:

log[(a/b)^2*x^3] = log[(a/b)^2] + log(x^3)
= 2*log(a/b) + 3*log(x)
= 2*(log(a) - log(b)) + 3*log(x)
= 2*log(a) - 2*log(b) + 3*log(x)