Log in a more game-like sense is when a player leaves, or therefore, logs from the game.
Example 1: LOL! He just combat logged!
Example 2: What a loser.
A nick name or pet name for a cute and loveable person named Logan because it's so hard to come up with anything else from that person's name.
Logan: Hi Stephy wephy
Stephanie: Aw, hi Log!
A weeb(not really tho) who read the entire demon slayer manga in a week or two. He simps for Shinobu like a plebb. He also appreciates big anime tiddies.
Log: Bruh I just finished the manga
Juan: Cool, what's next?
Log: I'm gonna watch Fate to see some epic girlyboi action, I mean what
Juan: •_•
Someone who is boring and doesn’t do or think much
Bruh she a log why invite her to the party