Nested roots

Algebra Level 3

x2x3x4x5x=x5x4x3x2x\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 xx satisfying the real equation above.

The answer is of the form a6\sqrt[6]{a}, then submot the value of aa.

Note:- x1x \neq 1


This is one part of the set Fun with exponents
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