Question 951701
{{{(log((x^2))+ log((sqrt(x))))/(log((x^2))-log((sqrt(x)))) }}}


{{{log((x^2*sqrt(x)))/log((x^2/sqrt(x))) }}}..............since {{{x^2*sqrt(x)=x^2*x^(1/2)=x^(2+(1/2))=x^(5/2)}}} 
and {{{x^2/sqrt(x)=x^2/x^(1/2)=x^(2-1/2)=x^(3/2)}}}


{{{log((x^(5/2)))/log((x^(3/2))) }}}


{{{(5/2)log((x))/(3/2)log((x)) }}}


{{{(5/cross(2))cross(log((x)))/(3/cross(2))cross(log((x))) }}}


{{{5/3 }}}