[tex]\LARGE\begin{aligned}&x\cdot2^x=1\\&x\cdot e^{\ln 2^x}=1\\&x\cdot e^{x\ln 2}=1\\&x\ln 2\cdot e^{x\ln 2}=\ln 2\\&x\ln 2=W(\ln 2)\\&x=\dfrac{W(\ln 2)}{\ln 2}\approx0,64\end[/tex]
[tex]W(x)[/tex] to funkcja W Lamberta.