Question 1140755
{{{log(2,(2x+1))+log(2,(x-1))=1}}}

{{{log(2,(2x+1)(x-1))=1}}}

{{{log(2,(2x^2-x-1))=1}}}

{{{2=2x^2-x-1}}}

{{{2x^2-x-3=0}}}

Can you continue from here?  Be sure to check if both solutions work.