Solutions for $x^y = y^x$

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It appears from Desmos that $x^y = y^x$ is the union of two functions. Obviously, $x = y$ is the one of these functions. What is the other? Thanks in advance!

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It’s not the graph of another function you’d recognize. But here is an award-winning, absolutely terrific article about that function and so much more:

http://eretrandre.org/rb/files/Knoebel1981_158.pdf