Question 898909
{{{log(3,(x-2))+log(3,(x+6))=2}}}
{{{log(3,(x-2)*(x+6))=2}}}
{{{log(3,(x^2+4x-12))=2}}}
{{{x^2+4x-12=3^2}}}
{{{x^2+4x-12=9}}}
{{{x^2+4x-12-9=0}}}
{{{x^2+4x-21=0}}}
{{{(x+7)(x-3)=0}}}
{{{x= -7  or  3}}}
{{{x= -7}}} is not acceptable as it is in negative which cannot be solved.
{{{x=3}}} is acceptable.