Question 1111151

{{{y=log (2 ,2x)}}} 
{{{ y=log  (4,x)}}}

left sides are equal, then

{{{log (2 ,2x) =log  (4,x)}}}

{{{log (2x)/log(2) =log  (x)/log(4)}}}

{{{log(2x)*log(4) =log(x)*log(2)}}}

{{{log(2x)*log(2^2) =log(x)*log(2)}}}

{{{log(2x)*2log(2) =log(x)*log(2)}}}

{{{2log(2x) =log(x)}}}

{{{log (4x^2) =log(x)}}}

{{{4x^2=x}}}

{{{4x^2/x=x/x}}}

{{{4x=1}}}

{{{x=1/4}}}

plug in {{{x}}} in any given equation above and find {{{y}}}

{{{y=log (2 ,2x)}}}

{{{y=log (2 ,2(1/4)) }}}

{{{y=log (2 ,1/2) }}}

{{{y= -1}}}