Returns the natural logarithm of the input number. The natural logarithm function is the inverse of the exponential function.

`ln(x)`

Name | Description |
---|---|

x | the input number |

The natural logarithm function describes the behavior of exponential decay which is the opposite of exponential growth. The natural logarithm function can be formally defined by the area under the hyperbola from to , or as discussed below it can also be defined as the inverse of the exponential function.

Check out this video by Mathologer to see how a visual intuition can be built up using geometry.

The natural logarithm is the same as the logarithm function with a base of , Euler’s Number.