#1 slog v. [plug away, peg away, keep one's nose to the grindstone, keep one's shoulder to the wheel] work doggedly or persistently; "She keeps plugging away at her dissertation". wn
#2 slog v. [footslog, plod, trudge, pad, tramp] walk heavily and firmly, as when weary, or through mud; "Mules plodded in a circle around a grindstone". wn
#3 slog v. [slug, swig] strike heavily, especially with the fist or a bat; "He slugged me so hard that I passed out". wn
vizzz