archaeologic

Etymology tree
Ancient Greek ἄρχω (árkhō)
Ancient Greek -ᾱ (-ā)
Ancient Greek -η (-ē)
Ancient Greek ἀρχή (arkhḗ)
Proto-Indo-European *-yósder.
Ancient Greek -ιος (-ios)
Ancient Greek ᾰ̓ρχαῖος (ărkhaîos)der.
English archaeo-
Proto-Indo-European *leǵ-
Ancient Greek λόγος (lógos)
Proto-Indo-European *-h₂
Proto-Indo-European *-éh₂
Proto-Indo-European *-i-eh₂
Proto-Hellenic *-íā
Ancient Greek -ῐ́ᾱ (-ĭ́ā)
Ancient Greek -λογῐ́ᾱ (-logĭ́ā)bor.
Latin -logialbor.
French -logie
Proto-Indo-European *-ikos
Proto-Italic *-ikos
Latin -icuslbor.
Old French -ique
Middle French -ique
French -ique
French -logiquebor.
English -logic
English archaeologic
From archaeo- + -logic.