Blue Mountain is a town in Logan County, Arkansas, United States. The population was 124 at the 2010 census. Edwin "Big Ed" Wilkes, a rad…Blue Mountain is a town in Logan County, Arkansas, United States. The population was 124 at the 2010 census. Edwin "Big Ed" Wilkes, a radio personality in Lubbock, Texas, was born in Blue Mountain but moved to Lubbock with his family in 1942.