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

Algebra ->  Test -> SOLUTION: [x/(x-1)]^(1/x) = (x-1)^(x-2), find x.       Log On


   

Question 1209501: [x/(x-1)]^(1/x) = (x-1)^(x-2),
find x.
Answer by mccravyedwin(408) About Me  (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