log

a segment of the trunk of a tree when stripped of branches

the exponent required to produce a given number

a written record of messages sent or received; "they kept a log of all transmission by the radio station"; "an email log"

a written record of events on a voyage (of a ship or plane)

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

enter into a log, as on ships and planes

cut lumber, as in woods and forests