## Evaluate logarithms and graph logarithmic functions:

Logarithms are a really simple and easy-to-learn concept, but can be a bit tricky to explain, so I have included a quick video that can help teach you exactly what logarithms are.

Now that you've watched the video and learned what logarithms are, we can talk about two examples of logarithms that you will need to remember: common logarithms and natural logarithms. Common logarithms are logarithms with a base of 10 and are notated simply as log, essentially, you need to remember that if you see the term log without a base, that is has a base of 10. The other special type of logarithm is the natural logarithm, which, should sound slightly familiar, as it is a logarithm with a base of e, if you don't know what e is, WHAT ARE YOU DOING WITH YOUR LIFE GO TO THE PAGE WHERE I TEACH YOU ABOUT NATURAL BASE e! It's okay I'll wait... Now that you've read up on natural base e, we can continue; natural logarithms are notated by the term ln, so remember that.

Now one way to graph logarithmic functions is to convert the function into exponential form and reflect the graph of said exponential function over the graph of the function y=x, as shown below.

Now one way to graph logarithmic functions is to convert the function into exponential form and reflect the graph of said exponential function over the graph of the function y=x, as shown below.