When I try to solve the following:
Solve[(1 - (-1 + x)^- x)^8 == 95/100 && x > 1, Reals]
solve chokes. If instead I use the equivalent form:
Solve[((1 - (-1 + x)^- x) == (95/100)^(1/8) || (1 - (-1 + x)^-x) == -(95/100)^(1/8)) && x > 1, Reals]
I get a solution quite fast.
Is there any way I could give mathematica a hint about how to solve in the above form? I've stripped down this example for the sake of my question, but in practice it's impractical for me to manually rewrite the equality I want to solve.