There are 9 US Post Offices in Logan County serving a total of 23,139 residents equating to 2,571 residents per post office. It's estimated that approximately 36,932 packages are handled across the 9 county post offices annually. Logan County (formerly Sarber County) is a county located in the U.S. state of Arkansas. As of the 2010 census, the population was 22,353. There are two county seats: Booneville and Paris."