log up vs put down

log up and put down both are verbs.

Word	Noun	Adjective	Verb	Adverb
log up	No	No	Yes	No
put down	No	No	Yes	No

As verbs, put down is a hypernym of log up; that is, put down is a word with a broader meaning than log up:

Other hypernyms of log up include enter, record.

log up (verb)	put down (verb)
record a distance travelled; on planes and cars	put down in writing; of texts, musical compositions, etc.
	make a record of; set down in permanent form
	put in a horizontal position
	remove (cargo, people, etc.) from and leave
	cause to sit or seat or be in a settled position or place
	put (an animal) to death
	reduce in worth or character, usually verbally
	cause to come to the ground