A scientific calculator has two 'log' buttons on it. These are marked log and ln. The log key is used for calculations of the form \({\log _{10}}x\). For example, to work out that \(\log 10000 = 4 ...

(Figure 1). And if we began the population with a single individual (as in the example above), we have from which we see that the natural log of the population, at any particular time, is some ...