Utah System of Higher Education institutions will grant you residency for tuition purposes, so you pay in-state rates, if you have a military connection to Utah. That includes nonresident service members stationed in Utah and their immediate family, recently discharged veterans using VA education benefits and their immediate family, people who lived in Utah for a year before going on active duty, and members of the Utah National Guard or of a Reserve unit based in Utah.
Ask the admissions or registrar office at the Utah public institution you are applying to for residency reclassification for tuition purposes, and provide your military documentation.
Your orders stationing you in Utah, your DD214 if you are a recently discharged veteran, your VA education benefit paperwork, proof of your relationship to the service member if you are a family member, and evidence of intent to become a Utah resident where that applies.