Masturbation. Exclusively masturbation of men or boys, since "log" is another word for penis.
Phone sex convo between two gay male politicians:
Gay Politician 1: Maybe later we can go back to my place and I can take your census.
Gay Politician 2: Only if you'll filibuster.
Gay Politician 1: Reapportion me, baby
Gay Politician 2: Oh I'll do it, you carpetbagger.
Gay Politician 1: Porkbarrel me!
Gay Politician 1: There's some logrolling going on... IN MY PANTS.
Gay Politician 2: You want PROPORTIONAL REPRESENTATION?
Gay Politician 1: I think I have a majority of your ass.
Gay Politician 2: Oh man, I think I just lost my seat.
Gay Politician 1: I'm about to incumbent!
Gay Politician 2: Errg. Oh YEAH! This session of congress is now over.
Gay Politician 1: Care to adjourn, then?
Gay Politician 2: I just did.
Gay Politician 1: Can we call a special session?
Gay Politician 2: As long as you give me your soft money.
The practice of defecating a large sturdy floater, admiring said poopsicle and urinating on it. A well aimed healthy stream of urine causes the "log" to roll.
"Hey, Moonshine Jimmy!"
"Whats happening, Prune Juice Doyle?"
"You sure were in the outhouse for quite a spell, eh?"
"Yep. Squeaky George let out a 13 inch floater and we were having a hell of a time logrolling!"