log3(x-2)(x+6)=2, x+6>0
log3(x^2+4x-12)=log3(9), x>-6
x^2+4x-12=9, x>-6
x^2+4x-21=0, x>-6
(x-3)(x+7)=0, x>-6
x=3
log3(x-2)(x+6)=2, x+6>0
log3(x^2+4x-12)=log3(9), x>-6
x^2+4x-12=9, x>-6
x^2+4x-21=0, x>-6
(x-3)(x+7)=0, x>-6
x=3