Question

what is the value of x and y in x^y=y^x​

Answer 1

Answer:

x=1

y=1...

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Answer 2

Answer:-

This is a classic (and well known problem).

The general solution of xy=yx is given by

xy=(1+1/u)u=(1+1/u)u+1

It can be shown that if x and y are rational, then u must be an integer.

The only non-trivial positive solution 2,4 yields the only non-trivial negative solution −2,−4.

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