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logx-x-2-x-




Question Number 187288 by mathlove last updated on 15/Feb/23
logx+x!=2  x=?
$${logx}+{x}!=\mathrm{2} \\ $$$${x}=? \\ $$
Answered by Frix last updated on 15/Feb/23
x! is defined for x∈N ⇒ no solution  If you mean  ln x +Γ(x+1)=2 ⇒  ≈1.65797
$${x}!\:\mathrm{is}\:\mathrm{defined}\:\mathrm{for}\:{x}\in\mathbb{N}\:\Rightarrow\:\mathrm{no}\:\mathrm{solution} \\ $$$$\mathrm{If}\:\mathrm{you}\:\mathrm{mean} \\ $$$$\mathrm{ln}\:{x}\:+\Gamma\left({x}+\mathrm{1}\right)=\mathrm{2}\:\Rightarrow \\ $$$$\approx\mathrm{1}.\mathrm{65797} \\ $$

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