Son of William Logan (1708?-1760?) and Agnes McAdam (b. ca. 1712),1 sister of John McAdam of Craigengillan. Married (1763) to Margaret McAdam,2 with whom he had at least three sons (William, Quintin and Alexander)3 and three daughters (Susanna, Agnes and Jane)4
Logan was laird of Camlarg in Dalmellington Parish, Ayrshire, which he inherited from his father. In 1780 he sold Camlarg to his uncle, the Laird of Craigengillan.
Boswell met Logan at the home of Logan's uncle, the Laird of Craigengillan, on September 14, 1762, where he described him as "an honest country gentleman who understands grazing and does not want [ie. lack] sense and homespun humour".