Question 1043800
This is <i>help</i> only, for (A).


{{{log(4,xy)=6}}}, given condition.


Change-Of-Base formula gives {{{log(4,xy)=log(2,xy)/log(2,4)=6}}}
Continuing with the left side steps,
{{{(log(2,x)+log(2,y))/log(2,2^2)}}}
{{{(log(2,x)+log(2,y))/(2*log(2,2))}}}
{{{(log(2,x)+log(2,y))/(2*1)}}}
{{{(log(2,x)+log(2,y))/2=6)}}}