Question 849839
{{{log(2,((x-2)))+log(2,(x))=3}}}
{{{log(2,(x(x-2)))=3}}}
{{{x(x-2)=8}}}
{{{x^2-2x-8=0}}}
{{{(x-4)(x+2)=0}}}
Two possible solutions:
{{{x-4=0}}}
{{{x=4}}}
and
{{{x+2=0}}}
{{{x=-2}}}
However, {{{log(2,(-4))}}} is not defined so this is not an allowed solution.