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# Function log

Calculate the logarithm of a value.

For matrices, the function is evaluated element wise.


## Syntax

```js
math.log(x)
math.log(x, base)
```

### Parameters

Parameter | Type | Description
--------- | ---- | -----------
`x` | number &#124; BigNumber &#124; Complex &#124; Array &#124; Matrix |  Value for which to calculate the logarithm.
`base` | number &#124; BigNumber &#124; Complex |  Optional base for the logarithm. If not provided, the natural logarithm of `x` is calculated. Default value: e.

### Returns

Type | Description
---- | -----------
number &#124; BigNumber &#124; Complex &#124; Array &#124; Matrix |  Returns the logarithm of `x`


## Examples

```js
math.log(3.5)                  // returns 1.252762968495368
math.exp(math.log(2.4))        // returns 2.4

math.pow(10, 4)                // returns 10000
math.log(10000, 10)            // returns 4
math.log(10000) / math.log(10) // returns 4

math.log(1024, 2)              // returns 10
math.pow(2, 10)                // returns 1024
```


## See also

[exp](exp.md),
[log2](log2.md),
[log10](log10.md),
[log1p](log1p.md)
