Logarithmic LAWS!

So we started off the class with a little look at this website http://phet.colorado.edu/index.php. Take a look at it...Mr. Maks had a lot of fun on here, maybe you will too. It doesnt have anything to do with log functions, so dont get confused about that.

So here are the log laws that we learned today. I apologize that there are no slides to go along with the info, but it will be up on monday for sure.
1. log a (MN) = log a M + log a N
You might think that (MN) means multiply...but it DOESNT. It means you ADD the M and N.
2. log a (M/N) = log a M - log a N
Again...you might think this means divide, but it really means that you have to SUBTRACT.
3. log a M(exponent x) = (X)log a M
So for this rule you have to put the exponent number multiplied by the log a M.

All of these rules are on our formula sheet.

Next we did some examples to show how to do these new log rules. I'll try and write them out the best i can since i dont have the slides here.

ex) Write as a single logarithmic function: 2log x - log y - log z
First step: Use rule 3 to change the first part of the equation.
= log x(exponent 2) - log y - log z
Second step: Pull out the negative sign of the last part of the equation.
= log x(exponent 2) - (log y + log z)
Third step: Use rule 1 to combine the last part of the equation.
= log x(exponent 2) - (log (yz))
Last step: Since the equation is subtracting we can apply rule 2 to make the equation a single function.
= log(x(exponent 2)/yz)

It looks alot less complicated on the slides. The other examples will be up on monday. The assignment was to do Exercise 22 # 1-10 and Exercise 23 # 1-12

And remember...NO SCHOOL TOMORROW!