We look at the origins of a logarithm.

Why would someone care about logarithms?

Logarithms were originally developed as a computational tool. The key fact that made this possible is that:


Before the days of calculators and computers, this was critical knowledge for anyone in a computational discipline.

The moral is:

Logarithms allow us to use addition in place of multiplication.

How does the logarithm work?

Still thinking about our work above, consider this: If we want a function to have the property then how is a logarithm actually defined?

Finally, we’ll show that the natural logarithm has the property that transforms multiplication into addition.