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# How to solve these types?

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

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

Without a graphing calculator.

Apr 14, 2019
edited by CalculatorUser  Apr 14, 2019

### 1+0 Answers

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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

Apr 15, 2019
edited by Guest  Apr 15, 2019