Question 327726
{{{log(6 ,(x)) + log(6 ,(x - 5)) = 1 }}}
{{{log(6 ,((x)(x - 5))) = 1 }}}
{{{x(x - 5) = 6^1 }}}
{{{x^2-5x=6}}}
{{{x^2-5x-6=0}}}
{{{(x+1)(x-6)=0}}}
Only positive solutions are allowed because of the log function.
{{{x-6=0}}}
{{{x=6}}}
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{{{log(6 ,(6)) + log(6 ,(6 - 5)) = 1 }}}
{{{1+ log(6 ,(1)) = 1 }}}
{{{1+ 0 = 1 }}}
{{{1=1}}}
Solution verified.