# Degrees of Separation to Find Population

**Algebra**Level 3

But our goal today has not to do with calculating the degrees of separation, but rather the **population** of a small boarding school based on such information. In this school, every student knows every other byway of \(2.3\) friends (giving the word "friend" a loose definition). The average student has \(10\) friends. What we need to know is the population of the student body.

Expressed in a formula, it looks like this: \[\frac { \ln { x } }{ \ln { 10 } } =2.3\]

Find the population and round to the nearest whole number. We don't want a fraction of a person.