Question 386015
{{{log(6,x) + log (6,(x-5)) =2 }}}
{{{log(6,x(x-5)) =2 }}}
{{{x(x-5) = 6^2 }}}
{{{x^2-5x = 36 }}}
{{{x^2-5x-36 = 0 }}}
{{{(x-9)(x+4) = 0 }}}
x = {-4, 9}
Throw out the negative answer--it's an extraneous solution leaving:
x = 9