He tried to think of something to put in the log.
I'm sure we have his full name and address in the log.
All the facts are in the log, and by now the whole world knows them.
The name had yet to be entered in the log.
But late that night he wrote in his log: 19 June.
Perhaps it wasn't a bad idea to do some research in the ship's open log.
You wrote quite a lot about it in the ship's log.
Anything out of the ordinary would have gone in our log.
Those are the things that were recorded in the medical log.
It wouldn't look good in the log, but who was going to argue?