# @Ln (Formula Language)

Returns the natural log of a number. Natural logs use e (approximately 2.718282) as their base.

## Syntax

**@Ln( ** *number* ** )**

## Parameters

*number*

Number or number list. May be any value greater than 0, and can contain up to 15 decimal places.

## Return value

*naturalLog*

Number
or number list. The natural log of *number*.

## Usage

If the parameter is a list, the function operates on each element of the list, and the return value is a list with the same number of elements.

Use @Ln in formulas requiring natural logs, such as compound growth or loss.

@Ln is the inverse of @Exp.

## Examples

- This example returns 0.693147180559945.
`@Ln(2)`

- This example returns 0.693147180559945 and 1.38629436111989 in
a list.
`@Ln(2 : 4)`