Finding an Approachable Solution for x of ex = 1/x

[emueyes]

I am looking for the solution for x of the equation e^x = 1/x. I've looked around and the answers seem a bit incomprehensible, is there a more approachable explanation ? I've only done high school math but was pretty good at it. I'm hoping that I'm posting in an appropriate place for this question.

 

[Jonathan Scott]

It's not simple. This is the Lambert W function: https://en.wikipedia.org/wiki/Lambert_W_function

 

[Jonathan Scott]

For this special case, the result is the omega constant: https://en.wikipedia.org/wiki/Omega_constant

 

[emueyes]

It certainly isn't simple. I'd gotten as far as the Wiki entry before but found it intractable. Even if I don't understand it there are some beautiful identities to be found though. Thanks for the replies.