The young David first studied in Danzig under Willem Hondius, and later in Amsterdam under Crispijn van de Passe II.
He married in 1663, and in 1665 moved from London to Nuffield, Oxfordshire, to avoid the Great Plague.
That year he once again settled in London, living in Leicester Fields, where he let rooms to aristocratic patrons and acted as their agent in the acquisition of works of art.
Loggan's illustrated book on the University of Oxford, Oxonia Illustrata, was a product of several years of dedicated efforts in which he was assisted by Robert White (1645–1704).
His illustrated book on the University of Cambridge, Cantabrigia illustrata (sive, Omnium celeberrimæ istius universitatis collegiorum, aularum, bibliothecæ academicæ scholarum publicarum sacelli coll: regalis / nec non totius oppidi ichnographia.)