Question 162439
{{{log(3,(x-4))-log(3,(x-1))= 2}}}
{{{log(3,((x-4)/(x-1)))= 2}}}
{{{((x-4)/(x-1)))= 3^2}}}
{{{(x-4)= 9(x-1)}}}
{{{x-4= 9x-9}}}
{{{-8x= -5}}}
{{{x=5/8}}}
Looking at the problem, x must be greater than 4 to be a solution so that the log function makes sense. 
Since our solution is not greater than 4, there is no solution.