Question Number 187288 by mathlove last updated on 15/Feb/23
$${logx}+{x}!=\mathrm{2} \\ $$$${x}=? \\ $$
Answered by Frix last updated on 15/Feb/23
$${x}!\:\mathrm{is}\:\mathrm{defined}\:\mathrm{for}\:{x}\in\mathbb{N}\:\Rightarrow\:\mathrm{no}\:\mathrm{solution} \\ $$$$\mathrm{If}\:\mathrm{you}\:\mathrm{mean} \\ $$$$\mathrm{ln}\:{x}\:+\Gamma\left({x}+\mathrm{1}\right)=\mathrm{2}\:\Rightarrow \\ $$$$\approx\mathrm{1}.\mathrm{65797} \\ $$