Basically what you need to do is print SMPTE timecode on one track of your tape machine & have your DAW read that timecode.
The DAW slaves to the tape machine.
I have no experience using Logic but do it often with a G5 Mac, Protools LE 8 & a Studer A820.
I use Reaper to generate SMPTE & record this onto one track of the tape machine.
Timecode is recorded at a minimum of -10 on the Studer.
Then i use SMPTE reader to read the timecode & covert to Midi timecode for Protools.
Please note: their is no sync box or other interface needed to do this.
Send the recorded SMPTE track output to the audio line in on the back of G5 then as long as SMPTE
reader input is set to receive from line in it should see this timecode.
The output of the reader is then sent to the IAC driver in Protools midi setup.
Stick the transport online and in record ready, hit play on tape machine & once sync is acheived Protools will drop into record automatically.
You will need to have a bit of lead in time for the tape & DAW to lock up. Maybe 10-20 seconds at the most.
This is a cheap & effective method of syncing that i have put under much scrutiny & might be worth a try using Logic.
A friend told me about this method & initially i was a bit sceptical but it really works well.