Question 130685


{{{log(b,(x-2))+3log(b,(x-6))-4log(b,(x+1))}}} Start with the given expression



{{{log(b,(x-2))+log(b,(x-6)^3)-log(b,(x+1)^4)}}} Rewrite the expression using the identity  {{{log(b,(x^y))=y*log(b,(x))}}} 



{{{log(b,(x-2)(x-6)^3)-log(b,(x+1)^4)}}} Combine the logs using the identity {{{log(b,(A))+log(b,(B))=log(b,(A*B))}}}



{{{log(b,(x-2)(x-6)^3/(x+1)^4)}}} Combine the logs using the identity {{{log(b,(A))-log(b,(B))=log(b,(A/B))}}}