You may come across logarithms in your calculus work. A logarithm is just a different way of expressing an exponential relationship between numbers. For instance,
![image0.png](https://www.dummies.com/wp-content/uploads/264723.image0.png)
These two equations say precisely the same thing. You could think of the exponential equation as the normal, English way of expressing the mathematical connection between 2, 3, and 8 and the logarithmic equation as the Greek or Latin way of expressing the very same connection.
The base of a logarithm can be any number greater than zero, other than 1, and by convention, if the base is 10, you don’t write it. For example,
![image1.png](https://www.dummies.com/wp-content/uploads/264724.image1.png)
You should know the following logarithm properties:
![image2.png](https://www.dummies.com/wp-content/uploads/264725.image2.png)