Not sure about the Z18. You may want to check with Makerbot.
As for the rep2 it has very limited space on the board and does not have the ability to save such logs.
You can track print time and see how many hours the rep2 was printing that day by subtracting the previous days total print time.
If your running sailfish firmware you can see more options like a filament odometer that you can also reset daily.