Question 170945
{{{log(3,((x^2y)^3))=3*log(3,(x^2y))=3(log(3,(x^2))+log(3,(y)))=3(2*log(3,(x))+log(3,(y)))}}}



So {{{log(3,((x^2y)^3))}}} expands to {{{3(2*log(3,(x))+log(3,(y)))}}}



Note: {{{x>0}}} and {{{y>0}}}



I've used the identities {{{log(b,(x*y))=log(b,(x))+log(b,(y))}}} and {{{log(b,(x^y))=y*log(b,(x))}}}