Question 194745
{{{6log(2,(x))-36log(2,(y))}}} Start with the given expression.



{{{log(2,(x^6))-log(2,(y^(36)))}}} Rewrite the logs using the identity  {{{y*log(b,(x))=log(b,(x^y))}}} 



{{{log(2,((x^6)/(y^(36))))}}} Combine the logs using the identity {{{log(b,(A))-log(b,(B))=log(b,(A/B))}}}



So {{{6log(2,(x))-36log(2,(y))=log(2,((x^6)/(y^(36))))}}} where every variable is positive.