Word orgin of the word apologize?

Go to dictionary.com, type in apologize, and scroll down to the Word origin and history section. Here is what it said:

Word Origin & History

apologize

1590s, "to speak in defense of," from Gk. apologeisthai (see apology). Main modern sense "to regretfully acknowledge" is attested by 1725. The Gk. equivalent, apologizesthai, meant simply "to give an account."

Hope that helps. It's exactly what dictionary.com had.