Growth
Linear: x
- Could be cx, z+x or any other arbitrary arithmetic function preformed on x, and it will still be linear

Polynomial: x ^ y
- x raised to some power of x

Exponential: 2 ^ x, e ^ x, 10 ^ x
- Some base raised to the power of x

Factorial: x!, x ^ x
- Very fast growth rate


How to use logarithms

I have some quantity (y) when I have the input (x), but I don't know the function that gets x to y.

I think it might be this:
y = Ax^n

Graphing this function would yield a picture that would make it impossible to detirmine if n was 1.5 or 2. Taking the log of this function will help.

* when multiplying, as in the (Ax) of our function, add the logs

log y = log A + log x ^ n which is the same as log y = log A + n log x


