Related Function:

The LN function returns the natural logarithm of a number. Natural logarithms are based on the constant e (2.71828182845904).

### Syntax

=LN(number)

#### Arguments

Argument | Description |
---|---|

number | The positive real number for which you want the natural logarithm |

#### Examples

A | B | C | |
---|---|---|---|

1 | Formula | Result | Notes |

2 | =LN(76) | 4.330733 | Natural logarithm of 76 |

3 | =LN(2.7182818) | 1 | Natural logarithm of the value of the constant e |

4 | =LN(EXP(4)) | 4 | Natural logarithm of e raised to the power of 4 |

Note: LN is the inverse of the EXP function.

#### Common Function Error(s)

Problem | What went wrong |
---|---|

#NUM! | Occurs if the supplied number argument is negative or zero |

#NAME? | Occurs if the supplied number argument is not a numeric value |

The logarithm of a number, to a given base, is the power to which the base must be raised to give that number; it is the inverse operation to exponentiation.

The natural logarithm of a number, written or , is the logarithm to the base e.

Therefore,

See Wikipedia for more information on Natural Logarithm.