\(x^{\frac{1}{x}}=25\).
I know this is silly, but I never really thought of this before.
Without a graphing calculator.
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
+2862 
