SOLUTION: [x/(x-1)]^(1/x) = (x-1)^(x-2), find x.

Algebra.Com
Question 1209501: [x/(x-1)]^(1/x) = (x-1)^(x-2),
find x.
Answer by mccravyedwin(408)   (Show Source): You can put this solution on YOUR website!

There is no algebraic way to handle this.
I'd just use a TI-84 calculator and approximate it.
You can use logs, but it doesn't help.  When unknowns
appear both in and out of exponents or special functions,
then algebra is useless.

x ≈ 2.501721792

Edwin
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