# Solving $x^x=y^y$ [closed]

In the equation $$x^x=y^y$$, how do you solve for $$y$$ in terms of $$x$$ when $$y$$ is not $$x$$?

There is a small curve in the first quadrant which is not $$y=x$$. graph: https://www.desmos.com/calculator/l1jempmhhg

## closed as off-topic by Leucippus, Alexander Gruber♦Apr 29 at 23:09

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• It doesn't look easy – Dr. Mathva Apr 29 at 21:09