# Value of Log 1 to 10

In Mathematics, the inverse function of exponentiation is known as logarithmic functions or log functions. In this article, the value of log from 1 to 10 in terms of both common and natural logarithmic functions is explained in detail.

**Also, read:**

## Logarithmic Function and its Types

The logarithm is defined as a quantity that represents the power in which the base (fixed number) is raised to produce a given number. The general representation of the logarithmic function is

**f(x) = log _{a }x**

In general, the two different types of logarithmic functions are

- Common Logarithmic Function
- Natural Logarithmic Function

In **common logarithmic function**, the base of the logarithmic function is **10**. **Log _{10} **or

**log**represents this function

**.**

In **natural logarithmic function**, the base of the logarithmic function is **e**. **Log _{e}** or

**ln**represents this function.

## Value of Log 1 to 10 for Log Base 10

The value of log 1 to 10 ( common logarithm- log_{10 }x) is listed here

Common Logarithm to a Number (log_{10} x) |
Log Value |

Log 1 | 0 |

Log 2 | 0.3010 |

Log 3 | 0.4771 |

Log 4 | 0.6020 |

Log 5 | 0.6989 |

Log 6 | 0.7781 |

Log 7 | 0.8450 |

Log 8 | 0.9030 |

Log 9 | 0.9542 |

Log 10 | 1 |

## Value of Log 1 to 10 for Log Base e

The value of log 1 to 10 in terms of the natural logarithm (log_{e }x) is listed here.

Natural Logarithm to a Number (log_{e} x) |
Ln Value |

ln (1) | 0 |

ln (2) | 0.693147 |

ln (3) | 1.098612 |

ln (4) | 1.386294 |

ln (5) | 1.609438 |

ln (6) | 1.791759 |

ln (7) | 1.94591 |

ln (8) | 2.079442 |

ln (9) | 2.197225 |

ln (10) | 2.302585 |

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