I took a look at the Logic Pro manual and it appears that it's pretty similar to RX in the methodology.
If I understand what you are wanting to do, it's basically track out a show file and export each track as an individual file.
I don't use Logic Pro but it seems you just place your cursor (playhead in Logic speak) where you want the track to start and press "Add Marker". The Marker List will allow you to name the Marker, etc.
Then, it's just File > Export > Export All Tracks as Audio Files.
That would seem to be the easiest way. In RX, when regions are created, it shows the start and end times of each track. I'll leave it to you to play around a bit and you'll get the hang of it.