<PRE><B>Question 130658</B>
{{{3log(16,4)+5log(16,v)-8log(16,w)}}} Start with the given expression



{{{log(16,4^3)+log(16,v^5)-log(16,w^8)}}} Rewrite each log using the identity  {{{y*log(b,(x))=log(b,(x^y))}}}



{{{log(16,64)+log(16,v^5)-log(16,w^8)}}} Evaluate {{{4^3}}} to get 64



{{{log(16,(64*v^5))-log(16,w^8)}}} Combine the logs using the identity {{{log(b,(A))+log(b,(B))=log(b,(A*B))}}}

      

{{{log(16,(64*v^5/w^8))}}} Combine the logs using the identity {{{log(b,(A))-log(b,(B))=log(b,(A/B))}}}

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