Ch3Factoring,Exponents&Logs.notebook November20,2015
WarmUp
Factoring
Today'sGoals:
Factorbygrouping
Differenceofperfectsquares
Sumanddifferenceofperfectcubes
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Ch 3: Factoring, Exponents & Logs Notebook - November 20, 2015, Study notes of Algebra
This notebook covers various topics including factoring by grouping, difference and sum of perfect squares and cubes, fraction exponents, logarithms, and their rules. It also includes examples and exercises on simplifying log expressions, solving log equations, and the exponential population model.
What you will learn
- How do you solve equations containing log expressions?
- What is the exponential population model and how is it used?
- How do you factor by grouping?
- How do you simplify log expressions using properties?
- What are the differences between factoring perfect squares and cubes?
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Warm Up
Factoring
Today's Goals:
Factor by grouping
Difference of perfect squares
Sum and difference of perfect cubes
Factor completely.
Factor completely.
Homework: Factoring, Exponent & Log Packet
WarmUp Remember These??
Today you will learn,
*Did
you
grab
your
steno
yet?
Fraction Exponents
Review of (^) LOG (^) rules b x logby=x =^ y log form exponential^ form log 2 8 = (^3 )
= 8 log 3 81 = 4 log½ 32 = - 5
= 625
Write as a single log.
Now go backwards!
Use the power rule to simplify COMPLETELY.
Write as a single log.
Now You Try!
3log 2 x 5 = 7
Solve.
log 2 (x + 2) + log 2 (x 1) = 2