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:- \(x \neq 1\)


This is one part of the set Fun with exponents
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