Question 1118206
Try first to work with just the right-hand side:

{{{2*log(4,x)=2*log(2,x)/log(2,4)=2*log(2,x)/2=log(2,x)}}}
(Change Of Base Formula used)



The given equation can be restated as {{{log(2,x)=log(2,x)}}}  so the given equation is true for all acceptable x values.


{{{log(2,x)=log(4,x^2)}}}
TRUE.