log vs common logarithm

log and common logarithm both are nouns.

Word	Noun	Adjective	Verb	Adverb
log	Yes	No	Yes	No
common logarithm	Yes	No	No	No

As nouns, common logarithm is a hyponym of log; that is, common logarithm is a word with a more specific, narrower meaning than log:

Other hyponyms of log include Napierian logarithm, natural logarithm.

log (noun)	common logarithm (noun)
measuring instrument that consists of a float that trails from a ship by a knotted line in order to measure the ship's speed through the water	a logarithm to the base 10
a written record of events on a voyage (of a ship or plane)
the exponent required to produce a given number
a written record of messages sent or received
a segment of the trunk of a tree when stripped of branches

log (verb)	common logarithm (verb)
enter into a log, as on ships and planes
cut lumber, as in woods and forests