http://www.beeradvocate.com/place/directory/9/US/UT/ Utah is a fairly big state with lots of open spaces between population centers. You'll need to get a lot more specific. You interested in Moab? SLC? Sandy? Logan? Wendover?
There are also several threads already devoted to this with great information on beers, bars, breweries, etc. I know, because I've gone into good depth on at least two...
Bohemian Brewery in Midvale (greater SLC, just a 10 minute drive on the 15 freeway to Midvale from SLC), Desert Edge Brewery (in SLC proper), and all of the above mentioned breweries.