Question 198949
Is the expression {{{log(10,(x/(x(x^2+5)(x^7+6))))}}} ????




{{{log(10,(x/(x(x^2+5)(x^7+6))))}}} Start with the given expression.



{{{log(10,(x))- log(10,(x(x^2+5)(x^7+6)))}}} Break up the log using the identity  {{{log(b,(A/B))=log(b,(A))-log(b,(B))}}}



{{{log(10,(x))-(log(10,(x))+log(10,(x^2+5))+log(10,(x^7+6)))}}} Break up the second log using the identity  {{{log(b,(A*B))=log(b,(A))+log(b,(B))}}} 



{{{log(10,(x))-log(10,(x))-log(10,(x^2+5))-log(10,(x^7+6))}}} Distribute



{{{-log(10,(x^2+5))-log(10,(x^7+6))}}} Combine like terms.



So {{{log(10,(x/(x(x^2+5)(x^7+6))))=-log(10,(x^2+5))-log(10,(x^7+6))}}}