# LOG

The LOG function calculates the logarithm of a number to a specified base. It is commonly used in mathematical and scientific calculations to determine the power to which a given base must be raised to produce a specified number.

## Syntax

=LOG(`Number`

, `Base`

)

`Number` | The number for which the logarithm is to be calculated. | |

`Base` | The base to which the logarithm is calculated. If omitted | the default base is 10. |

## About LOG

Picture this: you've got a number, and you need to find out the power to which another number (the base) must be raised to yield the given number. That's where the LOG function in Excel comes to your rescue. It's your trusty sidekick for unraveling logarithmic mysteries and swiftly computing logarithmic values with ease and efficiency. Whether you're dealing with complex mathematical equations or scientific calculations, LOG has your back, providing precise results in a snap. Just input the number and base, and voilà, you've got your logarithm ready for action!

## Examples

Let's dive into an example. Say you want to find the logarithm base 2 of 8. The formula would be: =LOG(8, 2). This will return 3, as 2 raised to the power of 3 equals 8.

Another scenario: you wish to calculate the natural logarithm (base e) of 20. The formula would be: =LOG(20). This will return approximately 2.9957, indicating that e raised to the power of approximately 2.9957 equals 20.

## Questions

**What does the LOG function do in Excel?**

The LOG function calculates the logarithm of a number to a specified base. It helps determine the power to which a given base must be raised to produce the specified number.

**What happens if the base argument is not specified in the LOG function?**

If the base argument is not specified in the LOG function, Excel assumes the base to be 10 by default and calculates the base-10 logarithm of the specified number.

**Can I use the LOG function for natural logarithms?**

Yes, the LOG function is versatile enough to handle natural logarithms (base e) as well. Simply input the number as the argument, and Excel will compute the natural logarithm without specifying the base.

## Related functions

LN

EXP

POWER

SQRT

LOG10