Question 898049
{{{log((x))+log((x-5))=1}}}
{{{log((x(x-5)))=1}}}
{{{x(x-5)=10}}}
{{{x^2-5x=10}}}
{{{x^2-5x+25/4=10+25/4}}}
{{{(x-5/2)^2=40/4+25/4}}}
{{{(x-5/2)^2=65/4}}}
{{{x-5/2=0 +- sqrt(65)/2}}}
{{{x=5/2 +- sqrt(65)/2}}}
Since only positive log arguments are allowed.
{{{x=5/2 + sqrt(65)/2}}}