Question 198679
{{{log(2,(sqrt(x)/a^2))}}} Start with the given expression.



{{{log(2,(sqrt(x)))-log(2,(a^2))}}} Break up the log using the identity  {{{log(b,(A/B))=log(b,(A))-log(b,(B))}}}



{{{log(2,(x^(1/2)))-log(2,(a^2))}}} Convert to exponential notation



{{{(1/2)log(2,(x))-2log(2,(a))}}} Pull down the exponents using the identity  {{{log(b,(x^y))=y*log(b,(x))}}}



So {{{log(2,(sqrt(x)/a^2))=(1/2)log(2,(x))-2log(2,(a))}}}