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Dear Sir/Madam
The purpose of this letter is to convey my sincere apology for leaving early and fail to log out,
It so happened that day was when I saw there was only 10 minutes more of support time and no new work updates, I took it for granted and left earlier.

Let me assure you that I will instill in my mind, before I leave in this office to check & not to fail to log out.

Once again sorry for what has happened.

Yours faithfully
Vimal
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Dear Mr (Ms) [surname],

I would like to convey my sincere apology for leaving early and failing to log out on [date]. That day I saw there was only 10 minutes more of support time and no new work updates, so I took it for granted and left early.

Let me assure you that in future before I leave the office, I will always check and log out properly.

Once again, sorry for my mistake.

Yours sincerely,

Vimal