Question 866917
{{{log(3,(x)) + log(3,(x-6))=3}}}
{{{log(3,(x(x-6)))=3}}}
{{{x(x-6)=3^3}}}
{{{x^2-6x=27}}}
{{{x^2-6x-27=0}}}
{{{(x-9)(x+3)=0}}}
Two solutions:
{{{x-9=0}}}
{{{x=9}}}
and
{{{x+3=0}}}
{{{x=-3}}}
However this solution is not valid since {{{log(3,(-3))}}} does not exist.