SOLUTION: For what value of x is {{{ sqrt(x) ^sqrt(x) ^sqrt(x) =2^512}}}?

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Question 1097460: For what value of x is ?
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!

Since the simplified expression is supposed to be a power of 2, it is highly likely that x itself is a power of 2.

Trial and error shows

and so


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