2014-08-12 22:36:45 +02:00

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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 | BigNumber | Boolean | Complex | Array | Matrix | null | Value for which to calculate the logarithm.
`base` | Number | BigNumber | Boolean | Complex | null | Optional base for the logarithm. If not provided, the natural logarithm of `x` is calculated. Default value: e.
### Returns
Type | Description
---- | -----------
Number | BigNumber | Complex | Array | 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),
[log10](log10.md)
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