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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?

Typology: Study notes

2021/2022

Uploaded on 09/27/2022

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Ch3Factoring,Exponents&Logs.notebook November20,2015
WarmUp
Factoring
Today'sGoals:
Factorbygrouping
Differenceofperfectsquares
Sumanddifferenceofperfectcubes
pf3
pf4
pf5
pf8
pf9
pfa
pfd
pfe
pff
pf12
pf13
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pf15
pf16
pf17
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pf1a
pf1b

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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

Solve.

ln (3x 2) + ln (x 1) = 2ln x

Solve.