If you want to apply for unemployment benefits, log on to jobs.utah.gov. Your Rights: â–« IF YOU NEED HELP FILLING OUT THIS APPLICATION, WE ARE HAPPY TO HELP.File your weekly claim online at jobs.utah. Gov, select "Sign In" (in the upper right-hand corner) then "my Unemployment" and then choose "File Weekly Claim.". To search and apply for jobs, click on the links found at the top of the Careers Home Page. Select the "Staff Jobs" button. Salt Lake County is an Equal Opportunity Employer. Learn more about what to do in cases of harassment, discrimination, or retaliation. Some of the following forms are available in PDF and Word. Some of the PDF forms can be easily filled out and printed.