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Question Number 193612 by Noorzai last updated on 17/Jun/23

Answered by aba last updated on 17/Jun/23

$${\mathrm{x}}^{{\mathrm{x}}^2}=3\Rightarrow {\mathrm{x}}^2\mathrm{lnx}=\ln 3$$$$\Rightarrow 2\mathrm{lnx}.{\mathrm{e}}^{2\mathrm{lnx}}=2\ln 3\Rightarrow 2\mathrm{lnx}=\mathrm{W}\left(2\ln 3\right)$$$$\Rightarrow \mathrm{x}={\mathrm{e}}^{\frac{1}{2}\mathrm{W}\left(2\ln 3\right)}\approx 1.56555$$

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