Question 117193
{{{3log(5,(12))-log(5,(36))}}}



{{{log(5,(12)^3)-log(5,(36))}}} Rewrite each log using the identity  {{{y*log(b,(x))=log(b,(x^y))}}}



{{{log(5,((12)^3/(36)))}}} Combine the logs using the identity {{{log(b,(A))-log(b,(B))=log(b,(A/B))}}}




{{{log(5,(1728/(36)))}}} Raise 12 to the 3rd power to get 1,728



{{{log(5,(48))}}} Divide