It entered the US Billboard Hot 100 at number two in the issue dated July 10, 2010.[59] The single debuted at number one on the US Digital Songs after selling 338,000 digital copies in its first week.
That 2nd week is actually wrong. It dropped below 300K.
Quote:
While most download-fueled top 10 debuts normally slip in their second week on the list, Eminem's "Love the Way You Lie," featuring Rihanna, is able to maintain its No. 2 standing due to a minimal drop in downloads (down 17% to 280,000, according to Nielsen SoundScan)