> For the complete documentation index, see [llms.txt](https://documentation.soulver.app/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://documentation.soulver.app/syntax-reference/general/logarithms-and-roots.md).

# Logarithms & Roots

### Square & Cubed Root

| Function | Name        | Behaviour                                    |
| -------- | ----------- | -------------------------------------------- |
| sqrt()   | Square Root | Returns the square root of a number (also √) |
| cbrt()   | Cube Root   | Returns the cube root of a number            |

```
sqrt(16)          | 4
cbrt(343)         | 7

square root of 81 | 9
cube root of 27   | 3
```

### Nth root

```
root 5 of 100 | 2.5118864315
```

### Logarithms

| Function       | Name              | Behaviour                                                                                                                 |
| -------------- | ----------------- | ------------------------------------------------------------------------------------------------------------------------- |
| exp()          | Exponential       | Calculates the value of e to the power of x, where e is the base of the natural logarithm. exp(1) returns Euler's number. |
| ln()           | Natural logarithm | The natural logarithm of a number is its logarithm to the base of the mathematical constant e.                            |
| log2()         | Base 2 logarithm  | Calculate the base 2 logarithm of a value                                                                                 |
| log(), log10() | Base 10 logarithm | Calculate the base 10 logarithm of a value                                                                                |

### Log to any base

```
log 20 base 4 | 2.1609640474
```

You can also use more natural phrases for this operation:

```
81 is 9 to what power     | 2
27 is 3 to the what power | 3
```

### Factorial & Absolute Value

| Function | Name           | Behaviour                                                                     |
| -------- | -------------- | ----------------------------------------------------------------------------- |
| abs()    | Absolute value | Returns the absolute value of a number (i.e makes a negative number positive) |
| fact()   | Factorial      | Returns the factorial of a given number.                                      |


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