Monday, April 10, 2012

 Hey guys, it's Luke. 

Today we did some Logarithmic Theorems

and also familiarize these two:
-Pattern: logaa^x = x
-Alternate Pattern: a^loga^x = x

Also we started learning about Laws Of Logarithms
This is done by expanding
Division Law: Subtract
Multiplication: Addition
Exponent Law: Exponent become coefficient "logaM^n = NlogaM"


We also did Logarithmic Expansion Steps, where we follow the steps carefully and do it step by step. Or else you're back to square one or you get the wrong answer..

1. Roots become fractional exponents.
2. Division Law- Division becomes subtraction.
3. Multiplication Law -Multiplication becomes addition.
4. Exponent Law - Exponents become coefficients (Move to the front)

Like for this example: 



Yeap, It's that equation is pretty long and also confusing.. Butc ouple of points to remember.

• Always use brackets (or else you are likely to get messed up)
• On the Multiplication Law always identify which one is multiplied for example: "log5z^3 = 3log5 + 3logz" No.. the correct answer is "log5 + 3logz" since "log 5 . z^3"
• Remember Roots become fractional exponents.

Familiarize this then you're good to go (: or you can just stare at it and cry..
.. Anyways have a good night~!