Solve for x (natural log equation)

[starstruck_]

I just wanted to double check that I was doing this right ( if the math in my process makes sense).

Question: Solve for x given the following equation.

e^ex= 2

I found the ln of both sides, so :

e^x= ln2

and then found ln again

x= ln(ln(2))

Was this the correct way of doing this? I was checking my answer using symbolab and there was an extra step with simplifying in order to reach the same answer as mine, so I'm just double checking to see if this is alright.

 

[mathman]

Looks good!