Question 437730
{{{log(3, (x+4))-log(3, (x-4)))= 1 }}}, apply logarithmic properties write:

{{{log(3, (x+4)/(x-4))=log(3, 3), because {{{log(3, 3)=1}}}

{{{(x+4)/(x-4)=3}}}, because we have log. with the same base on both sides.

Assume x-4 different from zero or x different from 4, multiply both sides by x-4

x+4=3(x-4) solving this equation find x=8, which is the solution.

Done.