Application and management information, including forms for a Utah Trademark that registers with the Utah Division of Corporations and Commercial Code. You can file your Utah State Trademark application online through the Utah Division of Corporations and Commercial Code website.Complete all lines on the application. In Utah, you can register a trademark with the state Commerce Department. The process is pretty simple. Our trademark attorneys will prepare a flat fee trademark application directed to your business name, logo, slogan, and more. This blog post will specifically focus on Utah State Trademarks, analyzing their advantages, limitations, and who they might be most suitable for. In the Trademark Electronic Application System (TEAS), we have one initial application form with two filing options: TEAS Plus and TEAS Standard. In the Trademark Electronic Application System (TEAS), we have one initial application form with two filing options: TEAS Plus and TEAS Standard. A trademark can be a name, word, symbol, phrase, slogan, design, or an assortment of these.