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