log

cut lumber, as in woods and forests

the exponent required to produce a given number

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

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

a written record of messages sent or received

“they kept a log of all transmission by the radio station”

enter into a log, as on ships and planes

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