You know, we haven't played this game in a while. Here's a fast food logo from a place right off of Sheikh Zayed Road:
The answer is Hardees - the Midwestern and Southeastern U.S. burger chain.
It's kind of a trick question, though, as the Western U.S. burger chain Carl's Jr. is owned by the same parent company as Hardees, CKE Restaurants, and shares the Hardees Star icon.
So I'll be nice and give you half-credit if you said Carl's Jr.