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Question-201190




Question Number 201190 by Calculusboy last updated on 01/Dec/23
Answered by mr W last updated on 01/Dec/23
(1/((−x)^((−x)) ))=(1/(1000))  (−x)^((−x)) =1000  ⇒x=−((4ln 10)/(W(4ln 10)))≈−5.438583
$$\frac{\mathrm{1}}{\left(−{x}\right)^{\left(−{x}\right)} }=\frac{\mathrm{1}}{\mathrm{1000}} \\ $$$$\left(−{x}\right)^{\left(−{x}\right)} =\mathrm{1000} \\ $$$$\Rightarrow{x}=−\frac{\mathrm{4ln}\:\mathrm{10}}{{W}\left(\mathrm{4ln}\:\mathrm{10}\right)}\approx−\mathrm{5}.\mathrm{438583} \\ $$
Commented by Calculusboy last updated on 01/Dec/23
thanks sir
$$\boldsymbol{{thanks}}\:\boldsymbol{{sir}} \\ $$

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