That is Impact, with a custom "i" in the word BIG.

I wish I could help you, it is a very nice font. My guess is that it is somewhat modified though.

I am guessing that the descender in that logo is some custom design work, NOT innate in the font itself. With such a small image though, it is kind of hard to tell what font it is. Looks to be something like Goudy-ish.