I was just wondering if anywhere anyone ever looked up a number such that , or ?

Is there a representation of using complex numbers?

I tried to work it out with the lambert W function but I'm not too good with it.

I guess technically, there could be a different omega that is defined by:

and so on and so forth for all the possible values given by the multivalued nature of the logarithm.

I'm wondering what the principal value is, the one I first asked for.

Is there a representation of using complex numbers?

I tried to work it out with the lambert W function but I'm not too good with it.

I guess technically, there could be a different omega that is defined by:

and so on and so forth for all the possible values given by the multivalued nature of the logarithm.

I'm wondering what the principal value is, the one I first asked for.