Simple indices

Algebra Level 4

4xx4=4x44x\LARGE \sqrt[x^4]{4^x} = 4^{\sqrt[4x]{x^4}}

If x±1,0x\ne \pm 1, 0 is a real number satisfying the equation above, find xx.

Give your answer to 2 decimal places.


This is one part of the set Fun with exponents
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