*e*) of the number and the latter returns the base 10 logarithm of the number.

To calculate the logarithm of any base in Java, we thus have to use the following method:

public double logOfBase(int base, int num) { return Math.log(num) / Math.log(base); }

#### Why does it work?

Let's say we want to find the base 2 logarithm of 32 (method call would be logOfBase(2, 32)), which is 5.

Now if we divide the base

*e*logarithm (ln) of our number (32) by the base

*e*logarithm of our base (2), we get the answer we wanted: