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solve-for-x-x-x-s-




Question Number 103691 by MAB last updated on 16/Jul/20
solve for x  x^x =s
$${solve}\:{for}\:{x} \\ $$$${x}^{{x}} ={s} \\ $$
Answered by Dwaipayan Shikari last updated on 16/Jul/20
xlogx=logs  logxe^(logx) =logs  logx=W_0 (logs)  x=e^(W_0 (logs))
$${xlogx}={logs} \\ $$$${logxe}^{{logx}} ={logs} \\ $$$${logx}={W}_{\mathrm{0}} \left({logs}\right) \\ $$$${x}={e}^{{W}_{\mathrm{0}} \left({logs}\right)} \\ $$
Commented by MAB last updated on 16/Jul/20
thanks sir
$${thanks}\:{sir} \\ $$

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