log3(X-5)+log3(x+3)=2
LnA +LnB= LnA.Bso we getĀ Log3(X-5)+log3(x+3)=Ln3(x-5)(x+3)=2 impliesĀ (x-5)(x+3)=2^3=8, so we can solve easily the quadratic equation x^2-2x-23=0, there are two solution x=1 -sqrt(24), and x=1+sqrt(24)