The Cubs and Brewers are tied for fourth place in the NL Central at 60-80.
The Cubs jumped on Brewers starter Kyle Lohse (9-9) in the first inning. Nate Schierholtz singled with one out and runners on first and second to drive in the first run. Two batters later, Lake homered on a 1-0 slider.
The Brewers scratched out single runs in the second and third innings to make it 5-2, but Cubs starter Chris Rusin made it 7-2 with a two-run single in the bottom of the third.
Rusin had more success at the plate than on the mound. After getting the first two outs in the fourth, he gave up consecutive hits to Norichika Aoki and Jean Segura, and was yanked from the game before pitching the required five innings to get the win.