Logarithms

Following the relation with exponential functions, I had to include some explanation of the logarithmic functions.
As we have seen before, if

then

Here follows the properties:




and we also have the special case

which we call the ln (pronounced "lin") function which is also called the natural logarithm and is the inverse of the natural exponential function which is the function e.

All of these properties can be proven by making use of the relation between them and the exponential functions (the fact that they are inverses of each other) and the properties of the exponential functions.