| 123456789101112131415161718192021222324252627282930313233343536373839404142434445464748 | [discrete][[esql-log]]=== `LOG`*Syntax*[source,esql]----LOG([base,] value)----*Parameters*`base`::Numeric expression. If `null`, the function returns `null`. The base is an optional input parameter. If a base is not provided, this function returns the natural logarithm (base e) of a value.`value`::Numeric expression. If `null`, the function returns `null`.*Description*Returns the logarithm of a value to a base. The input can be any numeric value, the return value is always a double.Logs of zero, negative numbers, infinites and base of one return `null` as well as a warning.*Supported types*include::types/log.asciidoc[]*Example*[source.merge.styled,esql]----include::{esql-specs}/math.csv-spec[tag=log]----[%header.monospaced.styled,format=dsv,separator=|]|===include::{esql-specs}/math.csv-spec[tag=log-result]|===[source.merge.styled,esql]----include::{esql-specs}/math.csv-spec[tag=logUnary]----[%header.monospaced.styled,format=dsv,separator=|]|===include::{esql-specs}/math.csv-spec[tag=logUnary-result]|===
 |