# Log()

## Description

Returns the result of taking the common logarithm (base 10) of *number*. *number* may be a floating point number, and a floating point result is returned.

Related Topics: e(), exp(), ln(), power().

## Examples

- > say log(0)
- You say "-Inf"
- > say log(1)
- You say "0"
- > say log(10)
- You say "1"
- > say log(e())
- You say "0.434294"

(--Soylent 01:39, 3 December 2005 (EST))

## Nifty Trick

It's not really a trick, but a well known math formula. Namely, the change of base formula:

log X log_b X = ------- log b

Or more generally:

log_c X log_b X = --------- log_c B

where *c* is a new sane value.

For example, if I wanted to know how many bits a certain value will take:

th ceil(fdiv(log(value),log(2)))

PennMUSH's log() takes an optional second argument that is used as the base. Internally, it uses the above formula.