# How do you solve for #x in RR# the equation #x! = e^x# ?

##### 2 Answers

Mar 5, 2017

I got

#### Explanation:

I used the extension

Obviously, equation is also satisfied for

Mar 5, 2017

Agree

As Gamma grows faster then the exponential I would assume this is the only solution.

graph{(y-x!)(y-e^x)=0 [-10, 10, -50, 300]}

I'll post an asymptotic solution if I get time.