is there any way to solve for x is $(e^x)/x =y$? I have tried using all the functions I know of and have been unable to get anywhere. I know it is impossible to solve this equation using elementary operations. I know it is impossible to solve for x with elementary functions because if $y=4$ there are two values of x. I tried using logarithms and got $x-ln(x)=ln(y).$ I am still stuck, what should I do?

$$y=\frac{e^x}{x}$$
then we can say:
$$xe^{-x}=\frac 1y$$
by letting $u=-x$ we get:
$$ue^u=-\frac 1y$$
Now we apply the Lambert W function to both sides:
$$u=W\left(-\frac 1y\right)$$
now undo the substitution:
$$x=-W\left(-\frac 1y\right)$$
