$$\log_{2}x+\log_{x}2=2\ f_{x}$$
$f_{x}=\frac{\log_{2}\left(x\right)+\log_{x}\left(2\right)}{2}$
$x\neq 1\text{ and }x>0$
$x=2^{\sqrt{f_{x}^{2}-1}+f_{x}}$
$x=2^{-\sqrt{f_{x}^{2}-1}+f_{x}}\text{, }|f_{x}|\geq 1$
