No I do not think LBP would be ok. It isn't an official log book. Second, if you have an error or a discrepancy, it could cost you your job.
When I interviewed, do you want to take a guess at how many seconds they reviewed my Air Force transcripts? (its less than 30!)
You're military, they don't care about your LBP. You have the interview, don't say something stupid and you have the job.
-Fatty