First we started class by reviewing the homework quiz we took last class. We went over certain problems. Here are some things to remember:
**  "This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.")
means the power you raise 6 to in order to get 6, so the answer would be 1. This is true for any logarithmic equation where the base is the same as the logarithm.
** In order to write  "This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.")
as a ratio, you must use the Change of Base Formula.
This means you would rewrite the log as 
.
** The cube root of a negative number does not involve i's (eg. 
)
** 
means +3 "This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.")
NOT  "This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.")
.
We then took another homework quiz (whew!) on the homework we had done since the last homework quiz. If you missed today's class, you need to make that up.
We spent the next bit of time going over homework problems from the p.253 homework assigning last class. These are the ones we had trouble with: 101, 55, 97, 91, 53.
REMEMBER TO CHECK YOUR ANSWERS AFTER FINISHING EVERY PROBLEM. This is especially important when you are solving a "quadratic" type logarithm; extraneous solutions cannot be eliminated unless you check both answers!
We have a Unit 4 T-E-S-T on Monday. This means that Revision Day is Thursday, so if you have any big questions to talk about, bring them to class then! It would be a good idea to start preparing now for this test, especially if you have been having trouble with logs.
We spent a few minutes talking about the midterm... Functions, polynomials, logs, exponentials, and a bit on sequences/series will all be on the midterm. It will be multiple choice, boring, standard type questions.
Then we opened our textbooks to p. 257 and started talking about logarithmic and exponential functions. There are 5 basic types of these models as you'll see by opening up the book. It's not necessary to memorize the equations of all of these models; you can just refer to this page. We looked over a few of the example problems starting on p. 258. These problems can be solved using rules that we already know about logs in a new way - by looking at real-life math applications. So you can sub in the problem itself into the default equation they give you to represent the problem. Most of them can be solved using your function grapher AKA Super TI-84 Math Buddy.
We'll be doing logs until Christmas, yippee!!
See Mr. O'Brien's post for the homework due next class.
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