# Nested roots

Algebra Level 3

$\Large \sqrt[5x]{\sqrt[4x]{\sqrt[3x]{\sqrt[2x]{x}}}} = \sqrt[x]{\sqrt[x^2]{\sqrt[x^3]{\sqrt[x^4]{x^5}}}}$

Find the real value of $x$ satisfying the real equation above.

The answer is of the form $\sqrt[6]{a}$, then submot the value of $a$.

Note:- $x \neq 1$

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