How to solve these types?

Question

+1

747

1

+2864

$x^{\frac{1}{x}}=25$ .

I know this is silly, but I never really thought of this before.

Without a graphing calculator.

edited by CalculatorUser Apr 14, 2019

Guest · Answer 1 · 2019-04-15T04:52:52

For x^1/x = 25, there are only "complex solutions". However, for x^x = 25, there is a "real" solution, which is:

x = 2.96321977489........etc. So that:

[2.96321977489^2.96321977489] =~25