SOLUTION: how to solve x and y if 2^x × 4^y=1 and 4^xy)=1/16?

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Question 1114412: how to solve x and y if 2^x × 4^y=1 and 4^xy)=1/16?
Answer by greenestamps(13198)   (Show Source): You can put this solution on YOUR website!


(1) --> --> --> -->

(2) -->

Substituting (1) into (2),



or

(a) y=1 --> x = -2
(b) y = -1 --> x = 2

Answer: 2 solutions: (x,y) = (-2,1) or (x,y) = (2,-1)

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