Question 251075
log (AB)=log(A)+log(B)
log(A/B)=log(A)+log(B)
C*log(A)=log(A^C)
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{{{log(2,X) - log(2,(X-5)) = log(2,4) - log(2,3)}}}
{{{log(2,(X/(X-5))) = log(2,(4/3))}}}
Exponentiate both sides,
{{{X/(X-5) =4/3}}}
{{{3X=4(X-5)}}}
{{{3X=4X-20}}}
{{{-X=-20}}}
{{{X=20}}}