log (x)+ log (x-2) = log(8) -----> x*(x-2) = 8 -----> = . (1) Factorize: = (x+2)*(x-4). So the roots of the equation (1) are x = -2 and x = 4. The root x = -2 doesn't work because of logarithm . . . The root x = 4 works well.