SOLUTION: if 13^-x=3, what does 13^2x equal?

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Question 1008163: if 13^-x=3, what does 13^2x equal?
Found 2 solutions by josmiceli, josgarithmetic:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+13%5E%28+-x+%29+=+3+
+1%2F%28+13%5Ex+%29+=+3+
+13%5Ex+=+1%2F3+
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+13%5E%282x%29+=+%28+13%5Ex+%29%5E2+
+%28+13%5Ex%29%5E2+=+1%2F9+

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
What you wrote and what you mean could be two different things.
13%5E%28-x%29=3, what does 13%5E%282x%29 mean?

13%5E%28-x%29=3
1%2F%2813%5Ex%29=3
13%5Ex=1%2F3


Next:
13%5E%282x%29=13%5E%28x%2Bx%29
%2813%5Ex%29%2813%5Ex%29
Substituting from transformed definition,
%281%2F3%29%281%2F3%29
highlight%281%2F9%29