Question 830412
{{{log(6,x)=1-log(6,x-5)}}}
{{{log(6,x)+log(6,x-5)=1}}}
{{{log(6,x(x-5))=1}}}
{{{x(x-5)=6}}}
{{{x^2-5x-6=0}}}
{{{(x-6)(x+1)=0}}}
Two possible solutions:
{{{x-6=0}}}
{{{x=6}}}
Check with the original equation.
{{{x+1=0}}}
{{{x=-1}}}
Not a solution since {{{log(6,-1)}}} does not exist.