Question 1170698

 {{{log(x+6)-log(x+2) = log( x)}}}

{{{log((x+6)/(x+2)) = log( x)}}}....if log same then

{{{(x+6)/(x+2) = x}}}

{{{(x+6) = x(x+2)}}}

{{{x+6 = x^2+2x}}}

{{{0= x^2+2x-x-6}}}

{{{0= x^2+x-6}}}

{{{0= x^2-2x+3x-6}}}

{{{0= (x^2-2x)+(3x-6)}}}

{{{0= x(x-2)+3(x-2)}}}

{{{0 = (x - 2) (x + 3)}}}

solutions:

{{{x=2}}}

{{{x=-3}}}->disregard negative