Question 1182948
{{{log(10,2x) - log(10,x-4) = 1}}}

<==> {{{log(10, (2x)/(x-4)) = 1}}}

<==> {{{(2x)/(x-4) = 10}}}  ==> {{{x/(x-4) = 5}}}

<==> x = 5x - 20  ==> 20 = 4x  ==> x = 5.


By direct substitution you can check that indeed x = 5 is the solution to the original equation.