# Nested roots, varying powers!

Algebra Level 4

$\huge \sqrt[10]{\sqrt[20]{\sqrt[30]{{\ddots}_{\sqrt[100]{10}}}}} = \sqrt[(x - 1)! × x^{x + 1}]{x}$

Find the real value of $$x$$ (upto 2 decimal places) satisfying the real equation above.

###### This is one part of the set Fun with exponents
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