Question

PROBLEMA TOP UNI 1978 -ECUACIONES EXPONENCIALES

Answer 1

$x^{x^{n^{n+1}}}=\sqrt[n^n]{n}\\ \\\left(x^{n^{n}}\right)^{x^{n^{n+1}}}=n\\ \\\left(x^{n^{n+1}}\right)^{x^{n^{n+1}}}=n^n\\ \\\to x^{n^{n+1}} = n \to \boxed{x =\sqrt[n^{n+1}]{n}}$