For general solution you can check https://math.stackexchange.com/questions/3072828/why-didnt-they-simplify-xy-yx-to-x-y https://math.stackexchange.com/question

For general solution you can check https://math.stackexchange.com/questions/3072828/why-didnt-they-simplify-xy-yx-to-x-y https://math.stackexchange.com/questions/3072828/why-didnt-t..., which is related to Lambert W function.