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Factoring Warm-up.

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Presentation on theme: "Factoring Warm-up."— Presentation transcript:

1 Factoring Warm-up

2

3 Properties of Logarithms
Section 7-5 Properties of Logarithms

4 Objectives I can expand log expressions using log properties
I can condense log expressions using properties

5 3 Main Properties Product Property Quotient Property Power Property

6 Product Property logb mn = logb m + logb n
You can use this property from left to right or from right back to the left. Left to Right (Expanding) Right to Left (Condensing)

7 Product Rule log2 4x = log2 4 + log2 x
This is called expanding a log expression

8 Working Backwards log3 x + log3 3 + log3 9 log3 3x + log3 9 log3 27x
This is called condensing an expression

9 Quotient Property logb m/n = logb m – logb n Left to Right (Expanding)
Right to Left (Condensing)

10 Quotient Rule This is Expanding

11 Working Backwards log3 x - log3 3 log3 x/3
This is called condensing an expression

12 Power Property logb mp = p logb m Left to Right (Expanding)
Right to Left (Condensing)

13 Power Rule log2 x3 = 3log2 x This is Expanding

14 Conversions

15 BIG Picture Positive Logs (Numerator) Negative Logs (Denominator)
Don’t leave fractional exponents

16 Condensing

17 Condensing

18 Homework Worksheet 11-8


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