SOLUTION: If 3^-x=2, what does 3^2x equal?

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Question 820515: If 3^-x=2, what does 3^2x equal?
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
If 3^-x=2, what does 3^2x equal?
3%5E%28-x%29=2
take log of each side.
log%283%5E%28-x%29%29=log%28%282%29%29
move out -x
-xlog%283%29=log%28%282%29%29
divide each side by -log(3)
x=-log%28%282%29%29%2F%28log%28%283%29%29%29
So
3^2x = 3^(-2(log((2)))/((log((3))))
= 1.081722