'antilogarithmic' originates from modern English, formed by the prefix 'anti-' (from Greek 'anti' meaning 'against' or 'opposite') combined with 'logarithmic' (from 'logarithm').

'logarithm' was coined in the early 17th century (John Napier) from Greek elements 'logos' ('ratio, proportion') and 'arithmos' ('number'); the prefix 'anti-' was later attached to form 'antilogarithm' (the inverse of a logarithm), and the adjective form 'antilogarithmic' developed from that noun.

Initially the roots meant 'opposite' (anti-) and 'ratio/number' (logos/arithmos); over time they combined to form a technical term whose current meaning is 'relating to the inverse of a logarithm'.