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並前往https://mathoverflow.net/questions/22230/ab-ba-when-a-is-not-equal-to-b

a^b = b^a when a is not equal to b. - MathOverflow

This doesn't answer your question, but I thought I'd point out that if we assume 1<a<b, the solutions to ab=ba can be written in the form a=(s+1s)s and ...

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