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Question Number 145577 by mathlove last updated on 06/Jul/21

Commented by mr W last updated on 06/Jul/21

$$seeQ145256$$

Answered by puissant last updated on 06/Jul/21

$${\left(\frac{1}{2}\right)}^{\sqrt{2}}={\left(\frac{1}{4}\right)}^{\frac{\sqrt{2}}{2}}={\left(\frac{1}{4}\right)}^{2^{-\frac{1}{4}}}={\left(\frac{1}{4}\right)}^{{\left(\frac{1}{4}\right)}^{\left(\frac{1}{4}\right)}}={\mathrm{x}}^{{\mathrm{x}}^{\mathrm{x}}}$$$$\Rightarrow \mathrm{x}=\frac{1}{4}.$$

Answered by Rhidy last updated on 27/Dec/21

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