More Logarithms

Ok, so I havn't written a post in forever so I think its about time to share some things. We are now done our unit on logarithms, but I havn't said much about them on my blog, so here I go...

A natural logarithm(ln) is equal to loge. e= 2.71828... (it is an irrational number).

f(n)= 1+1/n g(n)= (1+1/n)^n

And thats all I have, wow. How sad. Maybe I'll google something later and add to this.

Logarithmic Laws

Logarithmic Laws include:

loga(MN)=logaM+logaN
loga(M/N)=logaM-logaN
logaM^x=x(logaM)

There is also the change of base theorem :
logbn=logan/logab

Work Period

Yesterday we had a substitute teacher, so we spent our class time working on any outstanding assignments and accelarated math. I found this time to be very useful because when I have alot of time in class to work on assignments I get more done, instead of being at home trying to figure things out all by myself.

Lately we have being doing logarithms and at first I was absolutely LOST! For so long I was so frustrated because nothing made sense to me, but then I went to tutoring on Tuesday and it just clicked. I like looking at problems and instantly knowing how to tackle it.

Logarithmic Functions

Logarithms are exponents.
A logarithmic function is the inverse of an exponential function.

Ex: Given y=2^x, the inverse is x=2^y, which is the same as y=log2x

Work Period

Today was early dismissal, so our math class was only 40 minutes long. Instead of learning something new, we were given time to work on our exercises that were previously assigned to us. There will be a homework check either tomorrow or Thursday on exercises 11-20, so make sure you get everything done! We should also be working on our Accelerated Math.

By the way, this week is Media Literacy Week!
Basically, its a week to promote the proper understanding and techniques of media education. You can learn more about it on this website: http://www.medialiteracyweek.ca

More Double Angle Identities

Today we were given a few more examples of double angle identities. I used to think that I understood what I was doing but now I'm not too sure. I get confused because I keep forgetting to look at my formula sheet and look at the identities and pick one that will work for the question I am working on. Boo :(

Finish Exercise 18 and work on accelerated math.

Work Period

Today we had a work period, I was very happy!
Test is moved to Thursday now, not Wednesday. Once again, I was happy :)