Dr. Logan is a native of Savannah, Georgia. He graduated from Benedictine Military School in 1953 and was both the valedictorian and the student commander of the military battalion. He matriculated at Georgetown University and received his bachelor's degree in biology in 1957. His medical degree is from Georgetown University School of Medicine, where he graduated in 1961. While attending medical school he served as class president all four years, and received the Outstanding Medical Student Award from the American Medical Association during his senior year.

His internship was in general medicine at Grady Memorial Hospital in Atlanta and his first year of residency was in general surgery. Dr. Logan subsequently became the first otolaryngology resident in the Emory University/Grady Memorial Hospital program, and completed the program in 1966. Following his residency training he entered the United States Air Force in August of 1966, and he was stationed at Eglin Air Force Base as chief of otolaryngology and a consultant to the commanding general. In 1968 he returned to his native Savannah and was in solo practice until July of 1993 when he joined the Georgia Ear Institute. During his years in solo practice he brought the first otolaryngology surgical laser to Savannah, and is proficient in its use. He also founded and organized the first otoneurologic laboratory for the testing of vertigo and balance disorders in Savannah at St. Joseph Hospital. He is a past president of the Georgia Medical Society, The Georgia Society of Otolaryngology Head and Neck, and past chief of staff at St Joseph's Hospital. His other areas of interest are allergic diseases of the ear, nose and throat, voice disorders and the diagnosis and treatment of dizziness, vertigo and balance disorders.

He is married to the former Virginia Bryan Connerat and they have two sons; Lawton and Clarkson. His hobbies include golf, tennis, hunting, researching family genealogy and art.