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- Problem Statement
- (1/[2^x])^(1/(2x)) = (2^0.5)/2

- Relevant Equations
- Exponential proofs.

So basically I decided to simplify the terms on the left, and I got ~0.707. I looked at it and obviously realized it equals sqrt(2)/2. So x = all real #’s.

Since I rarely see problems with infinite solutions, I went on Cymath to confirm it. I understood it all till the very end, where it stated 1/(2^0.5) =/= (2^0.5)/2 .

Here: https://www.cymath.com/answer?q=((1#(2^x)))^(1#(2x))=sqrt(2)#2

Is this an error with the system, because if you rationalize the 1/1.414... , you should get 1.414.../2.

Since I rarely see problems with infinite solutions, I went on Cymath to confirm it. I understood it all till the very end, where it stated 1/(2^0.5) =/= (2^0.5)/2 .

Here: https://www.cymath.com/answer?q=((1#(2^x)))^(1#(2x))=sqrt(2)#2

Is this an error with the system, because if you rationalize the 1/1.414... , you should get 1.414.../2.