log off vs exit

log off is not a noun while exit is a noun.

Word	Noun	Adjective	Verb	Adverb
log off	No	No	Yes	No
exit	Yes	No	Yes	No

As verbs, exit is a hypernym of log off; that is, exit is a word with a broader meaning than log off:

Other hypernyms of log off include get out, go out, leave.

log off (noun)	exit (noun)
	the act of going out
	an opening that permits escape or release
	euphemistic expressions for death

log off (verb)	exit (verb)
exit a computer	pass from physical life and lose all bodily attributes and functions necessary to sustain life
	lose the lead
	move out of or depart from