Today, we started off class by taking the Supercorrection Follow-up Test for 25 minutes. Then, we proceeded to explore the value and nature of the number ‘e’ (aka 2.718281828459045...). We discovered the y=ex is the same as y=logex which is also the same as ln x. “Logmn is the power you raise m to to get n.”
Next, we went over last night’s homework discussing ‘log’ and ‘ln’, putting questions on the board and going over them as a class as usual. We took a look at the Mystery Function, leading into the Big Three Log Properties.
Big Three Log Properties:
logn(a•b)=logn(a)+logn(b)
logn(a/b)=logn(a)-logn(b)
logn(am)=m•logan
Next, we covered the Powerful Change of Base Formula.
Powerful Change of Base Formula:
logn x = logbx / logbn
Homework: p. 243 #11-45 odd, 61-67 odd
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Thanks, Julia. A couple things:
ReplyDeleteDon't forget your labels and don't forget to name the next scribe!
It might be time to start using the equation editor (link at right). Your expressions are difficult to read.
The functions e^x and ln(x) are not the same- they are inverses.
Your third property looks like it needs some work!