Question 170105
{{{log(5,((25^2)/(5)))=log(5,(25^2))-log(5,(5))=2*log(5,(25))-log(5,(5))=2*log(5,(5^2))-log(5,(5))=2*2*log(5,(5))-log(5,(5))=2*2*1-1=4-1=3}}}


So {{{log(5,((25^2)/(5)))=3}}}



Note: I used the identities {{{log(b,(A/B))=log(b,(A))-log(b,(B))}}},  {{{log(b,(x^y))=y*log(b,(x))}}}, and {{{log(b,(b))=1}}}