And then we say that it's not possible

Algebra Level 4

\(x\) is a non-negative real number which satisfies the following equation.

\(\huge x^{x^{x^{x^{.^{.^{x^{16}}}}}}}=16\)

Then find the value of \(x\). Correct your answers to three decimal places.

Enter 666 if you come to the conclusion that no such \(x\) exists.

This question is part of the set All-Zebra