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Find-the-value-of-x-x-x-x-729-Please-show-me-workings-




Question Number 5762 by sanusihammed last updated on 26/May/16
Find the value of x     (√x^x^x  )  =  729    Please show me workings.
$${Find}\:{the}\:{value}\:{of}\:{x}\: \\ $$$$ \\ $$$$\sqrt{{x}^{{x}^{{x}} } }\:\:=\:\:\mathrm{729} \\ $$$$ \\ $$$${Please}\:{show}\:{me}\:{workings}. \\ $$
Commented by FilupSmith last updated on 27/May/16
x^x^x  =729^2   x^x lnx=2ln729  xlnx+ln(lnx)=ln(2ln729)  ...?
$${x}^{{x}^{{x}} } =\mathrm{729}^{\mathrm{2}} \\ $$$${x}^{{x}} \mathrm{ln}{x}=\mathrm{2ln729} \\ $$$${x}\mathrm{ln}{x}+\mathrm{ln}\left(\mathrm{ln}{x}\right)=\mathrm{ln}\left(\mathrm{2ln729}\right) \\ $$$$…? \\ $$

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