Question 820515
If 3^-x=2, what does 3^2x equal?

{{{3^(-x)=2}}}
take log of each side.
{{{log(3^(-x))=log((2))}}}
move out -x
{{{-xlog(3)=log((2))}}}
divide each side by -log(3)
{{{x=-log((2))/(log((3)))}}}
So
3^2x = 3^(-2(log((2)))/((log((3))))
= 1.081722