equate vs homologize

equate and homologize both are verbs.

Word	Noun	Adjective	Verb	Adverb
equate	No	No	Yes	No
homologize	No	No	Yes	No

As verbs, homologize is a hyponym of equate; that is, homologize is a word with a more specific, narrower meaning than equate:

Other hyponyms of equate include homologise, homogenise, homogenize, draw, tie.

equate (verb)	homologize (verb)
make equal, uniform, corresponding, or matching	make homologous
consider or describe as similar, equal, or analogous	be homologous
be equivalent or parallel, in mathematics