lesson 7-3 - algebra 2lesson 73 1 december 05, 2012 warm up: what is an inverse? find the inverse...

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Lesson 73 1 December 05, 2012 Warm up: What is an inverse? Find the inverse of: y=3x+2 y=x/2 We will start our exploration of logarithms by completing an activity in our groups... Things to watch out for: What are logarithms? How do they relate to exponents?

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Page 1: Lesson 7-3 - Algebra 2Lesson 73 1 December 05, 2012 Warm up: What is an inverse? Find the inverse of: y=3x+2 y=x/2 We will start our exploration of logarithms by completing an activity

Lesson 7­3

1

December 05, 2012

Warm up:What is an inverse?

Find the inverse of:y=3x+2 y=x/2

We will start our exploration of logarithms by completing an activity in our groups...

Things to watch out for:What are logarithms?How do they relate to exponents?

Page 2: Lesson 7-3 - Algebra 2Lesson 73 1 December 05, 2012 Warm up: What is an inverse? Find the inverse of: y=3x+2 y=x/2 We will start our exploration of logarithms by completing an activity

Lesson 7­3

2

December 05, 2012

Page 3: Lesson 7-3 - Algebra 2Lesson 73 1 December 05, 2012 Warm up: What is an inverse? Find the inverse of: y=3x+2 y=x/2 We will start our exploration of logarithms by completing an activity

Lesson 7­3

3

December 05, 2012

Page 4: Lesson 7-3 - Algebra 2Lesson 73 1 December 05, 2012 Warm up: What is an inverse? Find the inverse of: y=3x+2 y=x/2 We will start our exploration of logarithms by completing an activity

Lesson 7­3

4

December 05, 2012

Now to find equivalent logs and exponents you can memorize the equation on the last page...or you can use what I call the wrap around way.  Here is how it works:

Start at the base (the little number below log), and move your pencil towards the equal, then wrap it around the answer to the third number.  The order you go is your base, then its power = third number...

Words are tricky, here is how it works...

Page 5: Lesson 7-3 - Algebra 2Lesson 73 1 December 05, 2012 Warm up: What is an inverse? Find the inverse of: y=3x+2 y=x/2 We will start our exploration of logarithms by completing an activity

Lesson 7­3

5

December 05, 2012

Page 6: Lesson 7-3 - Algebra 2Lesson 73 1 December 05, 2012 Warm up: What is an inverse? Find the inverse of: y=3x+2 y=x/2 We will start our exploration of logarithms by completing an activity

Lesson 7­3

6

December 05, 2012

To go backwards, from exponent to log it is helpful to have the wrap around rule already written out and then just fill in the blank places...

Page 7: Lesson 7-3 - Algebra 2Lesson 73 1 December 05, 2012 Warm up: What is an inverse? Find the inverse of: y=3x+2 y=x/2 We will start our exploration of logarithms by completing an activity

Lesson 7­3

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December 05, 2012

Page 8: Lesson 7-3 - Algebra 2Lesson 73 1 December 05, 2012 Warm up: What is an inverse? Find the inverse of: y=3x+2 y=x/2 We will start our exploration of logarithms by completing an activity

Lesson 7­3

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December 05, 2012

Page 9: Lesson 7-3 - Algebra 2Lesson 73 1 December 05, 2012 Warm up: What is an inverse? Find the inverse of: y=3x+2 y=x/2 We will start our exploration of logarithms by completing an activity

Lesson 7­3

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December 05, 2012

Page 10: Lesson 7-3 - Algebra 2Lesson 73 1 December 05, 2012 Warm up: What is an inverse? Find the inverse of: y=3x+2 y=x/2 We will start our exploration of logarithms by completing an activity

Lesson 7­3

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December 05, 2012

Page 11: Lesson 7-3 - Algebra 2Lesson 73 1 December 05, 2012 Warm up: What is an inverse? Find the inverse of: y=3x+2 y=x/2 We will start our exploration of logarithms by completing an activity

Lesson 7­3

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December 05, 2012

Homework:p.509 #17­30, 33, 38