Log
WordNet

### noun

(1)   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
(2)   A written record of events on a voyage (of a ship or plane)
(3)   A written record of messages sent or received
"They kept a log of all transmission by the radio station"
"An email log"
(4)   The exponent required to produce a given number
(5)   A segment of the trunk of a tree when stripped of branches
(6)   Large log at the back of a hearth fire

### verb

(7)   Enter into a log, as on ships and planes
(8)   Cut lumber, as in woods and forests
WiktionaryText

### Symbol

1. logarithm
if $x=b^y$ then $log_\left\{b\right\}\left(x\right)=y$

### Etymology 1

Recorded since 1398, of unknown origin. The theory from is widely doubted on phonological grounds; an alternative is sound expression of the notion of something massive

#### Noun

1. The trunk of a dead tree, cleared of branches.
They walked across the stream on a fallen log.
2. Any bulky piece as cut from the above, used as timber, fuel etc.
3. A chip log, a device used in navigation to estimate the speed of a vessel through water.
4. A logbook.
5. A blockhead, very dumb person.
6. A longboard.
I know he hadn’t surfed on a log much in his childhood — Neal Miyake 1999 http://www.iav.com/~sponge/sesh/new2/sesh213.htm
7. A rolled cake with filling; Swiss roll.

#### Verb

1. To cut trees into logs
2. To cut down (trees).
3. To travel at a specified speed, as ascertained by log chip
4. To cut down trees in an area, harvesting and transporting the logs as wood

#### Noun

1. A logbook, or journal of a vessel (or aircraft)'s progress
2. A record of performance etc.

#### Verb

1. To make, to add an entry (or more) in a log(book).
2. To travel (a distance) as shown in a logbook