Properties of Logarithms - tb003.k12.sd.us Properties of... · handout 8.4 properties of...

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handout 8.4 properties of logarithms.notebook 1 April 07, 2016 Algebra 2 Ch. 8 Handout 8.4 Properties of Logarithms

Transcript of Properties of Logarithms - tb003.k12.sd.us Properties of... · handout 8.4 properties of...

Page 1: Properties of Logarithms - tb003.k12.sd.us Properties of... · handout 8.4 properties of logarithms.notebook 2 April 07, 2016 Properties of Logarithms For any positive numbers M,

handout 8.4 properties of logarithms.notebook

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April 07, 2016

Algebra 2Ch. 8   Handout 8.4

Properties of Logarithms

Page 2: Properties of Logarithms - tb003.k12.sd.us Properties of... · handout 8.4 properties of logarithms.notebook 2 April 07, 2016 Properties of Logarithms For any positive numbers M,

handout 8.4 properties of logarithms.notebook

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April 07, 2016

Properties of LogarithmsFor any positive numbers M, N, and b where 

Product Property Pull

Pull

Page 3: Properties of Logarithms - tb003.k12.sd.us Properties of... · handout 8.4 properties of logarithms.notebook 2 April 07, 2016 Properties of Logarithms For any positive numbers M,

handout 8.4 properties of logarithms.notebook

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April 07, 2016

Properties of LogarithmsFor any positive numbers M, N, and b where 

Quotient Property

Pull

Pull

Page 4: Properties of Logarithms - tb003.k12.sd.us Properties of... · handout 8.4 properties of logarithms.notebook 2 April 07, 2016 Properties of Logarithms For any positive numbers M,

handout 8.4 properties of logarithms.notebook

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April 07, 2016

Properties of LogarithmsFor any positive numbers M, N, and b where 

Power Property

Pull

Pull

Page 5: Properties of Logarithms - tb003.k12.sd.us Properties of... · handout 8.4 properties of logarithms.notebook 2 April 07, 2016 Properties of Logarithms For any positive numbers M,

handout 8.4 properties of logarithms.notebook

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April 07, 2016

1.  State the property or properties used to rewrite each expression.

a)

Pull

Pull Product Property

Page 6: Properties of Logarithms - tb003.k12.sd.us Properties of... · handout 8.4 properties of logarithms.notebook 2 April 07, 2016 Properties of Logarithms For any positive numbers M,

handout 8.4 properties of logarithms.notebook

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1.  State the property or properties used to rewrite each expression.

b)

Pull

Pull Power Property and Quotient Property

Page 7: Properties of Logarithms - tb003.k12.sd.us Properties of... · handout 8.4 properties of logarithms.notebook 2 April 07, 2016 Properties of Logarithms For any positive numbers M,

handout 8.4 properties of logarithms.notebook

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2.  Write each expression as a single logarithm.

a) b)

Page 8: Properties of Logarithms - tb003.k12.sd.us Properties of... · handout 8.4 properties of logarithms.notebook 2 April 07, 2016 Properties of Logarithms For any positive numbers M,

handout 8.4 properties of logarithms.notebook

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3.  Expand each logarithm.

a) b)

Page 9: Properties of Logarithms - tb003.k12.sd.us Properties of... · handout 8.4 properties of logarithms.notebook 2 April 07, 2016 Properties of Logarithms For any positive numbers M,

handout 8.4 properties of logarithms.notebook

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4.  Evaluate.

a)

Page 10: Properties of Logarithms - tb003.k12.sd.us Properties of... · handout 8.4 properties of logarithms.notebook 2 April 07, 2016 Properties of Logarithms For any positive numbers M,

handout 8.4 properties of logarithms.notebook

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4.  Evaluate.

b)

Page 11: Properties of Logarithms - tb003.k12.sd.us Properties of... · handout 8.4 properties of logarithms.notebook 2 April 07, 2016 Properties of Logarithms For any positive numbers M,

handout 8.4 properties of logarithms.notebook

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5.  Assume that  and

a.  log 18

Page 12: Properties of Logarithms - tb003.k12.sd.us Properties of... · handout 8.4 properties of logarithms.notebook 2 April 07, 2016 Properties of Logarithms For any positive numbers M,

handout 8.4 properties of logarithms.notebook

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5.  Assume that  and

b.  log 

Page 13: Properties of Logarithms - tb003.k12.sd.us Properties of... · handout 8.4 properties of logarithms.notebook 2 April 07, 2016 Properties of Logarithms For any positive numbers M,

handout 8.4 properties of logarithms.notebook

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5.  Assume that  and

c.  log 270

Page 14: Properties of Logarithms - tb003.k12.sd.us Properties of... · handout 8.4 properties of logarithms.notebook 2 April 07, 2016 Properties of Logarithms For any positive numbers M,

handout 8.4 properties of logarithms.notebook

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ProductProperty

State the property or properties used to rewrite each expression.

1

Quick Check

a)

b) Power Property/Quotient Property

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handout 8.4 properties of logarithms.notebook

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Write as a single logarithm.2

Page 16: Properties of Logarithms - tb003.k12.sd.us Properties of... · handout 8.4 properties of logarithms.notebook 2 April 07, 2016 Properties of Logarithms For any positive numbers M,

handout 8.4 properties of logarithms.notebook

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Can you write  as a single logarithm?  Explain.3

Pull

Pull No, not the same bases

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handout 8.4 properties of logarithms.notebook

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Expand each logarithm.4

a) b) c)

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Assignment

pgs 457­459 11­29 odds, 33­41 odds, 45­55 odds

Day 1

pgs 457­459 12­30 evens, 34­40 evens,                       44­54 evens,74­82 evens

Day 2