# log proc

Source: https://ref.dm-lang.org/proc/log

### Format
- `log(X,Y)`
- `log(Y)`


### Returns
> The logarithm (base X) of Y. If X is not specified, a natural logarithm is computed (base 2.718...).

The logarithm is the power to which you have to raise X in order to get Y. In other words, the following is true (ignoring round-off error):

```dm /log/
X ** log(X,Y) == Y
```

One nice property of this function is that it gradually increases, with a slope that continuously tapers off. In other words, it can be useful to represent diminishing returns from some input, such as money, experience points, and so forth.

### See also
> [\*\* operator](https://ref.dm-lang.org/operator/asteriskasterisk.md)