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Question Number 93376 by ar247 last updated on 12/May/20

  x^x^x  =((1/2))^(1/2)   x=?

$$ \\ $$$${x}^{{x}^{{x}} } =\left(\frac{\mathrm{1}}{\mathrm{2}}\right)^{\frac{\mathrm{1}}{\mathrm{2}}} \\ $$$${x}=? \\ $$

Commented by prakash jain last updated on 12/May/20

You can find approximate solution  using numerical techmiques.  Exact closed form value is not  obtainable.

$$\mathrm{You}\:\mathrm{can}\:\mathrm{find}\:\mathrm{approximate}\:\mathrm{solution} \\ $$$$\mathrm{using}\:\mathrm{numerical}\:\mathrm{techmiques}. \\ $$$$\mathrm{Exact}\:\mathrm{closed}\:\mathrm{form}\:\mathrm{value}\:\mathrm{is}\:\mathrm{not} \\ $$$$\mathrm{obtainable}. \\ $$

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