# Continuous growth and decay in exponential and logarithmic functions

### Continuous growth and decay in exponential and logarithmic functions

We now have a better understanding of how the compounding frequency will affect the amount we wish to grow or decay. But what if we are dealing with something, say, that compounds every minute, second, or even millisecond? This concept is also known as continuous compounding. In this section, we will see a slight variation of an exponential growth and decay formula that models continuous exponential growth/decay.

###### Basic concepts:

- Natural log: ln
- Solving exponential equations with logarithms