For the equation:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]y^x = x^y[/tex]

There are several trivial solutions:

such as:

[tex]y = x[/tex]

and a further set of trivial solutions for:

[tex]y^{y^y} = y^{y^2}[/tex]

Now I know for a fact there are also sevral non-trivial solutions and there is a method thta could possibly obtain a

general solution, so does anyone here know how to obtian a general solution or if not suggest other sets of solutions?

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Y^x = x^y

**Physics Forums - The Fusion of Science and Community**