Do I need to use my business' full registered name in my logo?

[compudoc]

My business is almost entirely local, but I deal with vendors out-of-state. I decided to prefix my business name (DBA) with the name of my state to differentiate it from other similar businesses in other states when working with vendors.

The logo, however, contains the name of my business but without the state prefix. Is this allowed, or do I need to register a second fictitious name for the logo version?

[brandoncdg]

That's an interesting question that I would like to know as well.