Question 314200
{{{log(5, (x + 2))-log(5,( x)) = 2}}}

{{{log(5, ((x + 2)/x)) = 2}}}
{{{(x + 2)/x= 5^2}}}
{{{x + 2= 25x}}}
{{{24x=2}}}
{{{x=2/24}}}
{{{highlight(x=1/12)}}}
Plug the number into the original equation to verify the solution.