Logan is a city in Phillips County, Kansas, United States. As of the 2020 census, the population of the city was 460. Logan was founded in 18…Logan is a city in Phillips County, Kansas, United States. As of the 2020 census, the population of the city was 460. Logan was founded in 1870. It was named for Gen. John A. Logan. The first post office in Logan was established in March 1872.