Do a search here for 'DM Routing Zen.' It's my humble contribution to one of the most puzzling DM topics. And it relates to your question.
You want to send your stereo mix back to logic? It's not that hard. First, locate faders 31/32. They are at the far right of your 2nd Layer. (EDIT!! Sorry! That would pertain to a DM3200. Your 4800 would likely feature faders 31/32 somewhere in the left part of Layer #2.
) Next, make them a Stereo Pair. Then.
1. Hit ROUTING/OUTPUT SLOT (I repeat: OUTPUT SLOT - 3rd tab on the bottom of the screen.
2. SELect faders #31/32 on the left side of the screen.
3. On the right side of the screen you'll see a list of sources. Yeah - there are a lot. Using your POD knob, locate STEREO (under the Input Bypass section.)
4. Going back to the left side of the screen (inputs 31/32), Select those channels, and using the Big Black Knob On The Center Of The Console (also used for shuttling and other tasks), turn it until you see:
5. On Input 31 - STEREO - L
6. On Input 32 - STEREO - R (be sure to hit ENTER after making selections!!!)
7. Make sure to MUTE CHANNELS 31/32, or you'll get some nasty sound happenin!! While you're at it, ensure these channels are Assigned to the Direct Out of your desk. Easy - just hit that Dir Button until the light is red.)
Finally, in Logic:
1. Create a NEW Stereo Track (label it - maybe - 'Stereo Mix!')
2. ASSign the inputs to this New Stereo Track as Inputs 31/32 (the ones you've chosen to come out of your DM).
Hit Record. Print mix.
CaptDan