The Basics
What is an exponential function anyways? There is one big thing to remember, the x is in the exponent. It doesn't necessarily have to be an x, it can be another variable. These are all examples of...
Graphs of Exponential Functions
Would you rather go on a ski slope or a water slide? Whichever you choose, that's the shape of an exponential function. We're going to show you their graphing behavior and effects of parameters in...
Exponential Money
Exponential MulahAre you ready to spend some mulah? Or are you ready to save some dough? This section is all about using the equations for loans, investments, and present value which you can use wh...
The ex Function: To e or not to e
Do you know what continuous growth means? Picture a balloon being blown up at a constant rate, rather than in little increments. Pop! Some exponential functions that model continuous growth use the...
The Basics
The Logarithm: a secret dance that the trees do when we are not looking. Actually, the logarithm is far more complicated than that. You have learned about logarithms before, but just to catch you u...
Graphs of Logarithmic Functions
Imagine your world flipped upside down and backwards. That's what happened to the exponential function, and in this section we are exploring the inverse of an exponential function...drum roll pleas...
The Natural Log
You are about to learn the single most important concept in solving exponential and logarithmic equations. The natural log is a very handy tool to keep in your mathematical tool belt in this chapte...
Solving Exponential Equations
Since we now know about exponential equations and their inverses, the natural log, we can easily solve for any variable in an exponential function. It's all about plugging in values for what we do...
Solving Logarithmic Equations
Now that you've solved exponential equations, logarithmic equations will be a breeze. We will exercise the inverses of logarithms to solve for these, or possibly use a natural log. We will give you...