Related Function:

The LOG10 function returns the base-10 logarithm of a number.

### Syntax

=LOG10(number)

#### Arguments

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

number | The positive real number for which you want the base-10 logarithm |

#### Examples

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

1 | Formula | Result | Notes | Description |

2 | =LOG10(10) | 1 | The power 10 is raised to to equal 10 | 10^{1} = 10; therefore, log_{10}(10) = 1 |

3 | =LOG10(100) | 2 | The power 10 is raised to to equal 100 | 10^{2} = 100; therefore, log_{10}(100) = 2 |

4 | =LOG10(1000) | 3 | The power 10 is raised to to equal 1000 | 10^{3} = 1000; therefore, log_{10}(1000) = 3 |

5 | =LOG10(86) | 1.9345 | The power 10 is raised to to equal 86 | 10^{1.9345} = 86; therefore, 10_{10}(86) = 1.9345 |

6 | =LOG10(0.001) | -3 | The power 10 is raised to to equal 0.001 | 10^{-3} = 0.001; Therefore, Log_{10}(0.001) = -3 |

#### 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.

The base 10 logarithm, or common logarithm, is written as . Therefore, if

then

See Wikipedia for more information on logarithm and common logarithm.