if-x-R-amp-x-x-6-2-2-x-

Question Number 194316 by SajaRashki last updated on 03/Jul/23

i f x \in R & x^{x^{6}} = {(\sqrt{2})}^{\sqrt{2}} \Rightarrow x = ?

Commented by Frix last updated on 03/Jul/23

x = 2^{\frac{1}{4}}

\Rightarrow x^{6} = 2 \sqrt{2}

{(2^{\frac{1}{4}})}^{2 \sqrt{2}} = 2^{\frac{\sqrt{2}}{2}} = {(\sqrt{2})}^{\sqrt{2}}

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