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
×

Problem Loading...

Note Loading...

Set Loading...