Question Number 188366 by a.lgnaoui last updated on 28/Feb/23
$${xlnx}=\mathrm{7}\:\:\:\:\: \\ $$$${x}? \\ $$
Answered by mr W last updated on 28/Feb/23
$${e}^{\mathrm{ln}\:{x}} \mathrm{ln}\:{x}=\mathrm{7} \\ $$$$\mathrm{ln}\:{x}={W}\left(\mathrm{7}\right) \\ $$$$\Rightarrow{x}={e}^{{W}\left(\mathrm{7}\right)} =\frac{\mathrm{7}}{{W}\left(\mathrm{7}\right)} \\ $$$$\:\:\:\:\:\:\:\:\approx\frac{\mathrm{7}}{\mathrm{1}.\mathrm{524345}}=\mathrm{4}.\mathrm{592136} \\ $$
Commented by a.lgnaoui last updated on 01/Mar/23
$${thanks} \\ $$