Question 377694
You're almost there.
{{{log(2,((x-1)/(x+3)))=log(2,(1/x))}}}
{{{(x-1)/(x+3)=1/x}}}
Cross multiply,
{{{x(x-1)=x+3}}}
{{{x^2-x=x+3}}}
{{{x^2-2x-3=0}}}
{{{(x-3)(x+1)=0}}}
Two solutions but only positive arguments are allowed for the log function.
{{{x-3=0}}}
{{{highlight(x=3)}}}