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9-12 Integrated Math 3 Unit 4 Lesson 10

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K-5 Math 6-8 Math •9-12 Math

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Integrated Math 1 Integrated Math 2 •Integrated Math 3

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Unit 1 Unit 2 Unit 3 •Unit 4 Unit 5 Unit 6 Unit 7

Modeling Prompts

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Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 •Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 Lesson 15 Lesson 16 Lesson 17 Lesson 18 Lesson 19 Lesson 20 Lesson 21 Lesson 22 Lesson 23

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9-12

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Integrated Math 2
Integrated Math 3

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Geometry
Algebra 2
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Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 7

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Unit 4, Lesson 10

Interpreting and Writing Logarithmic Equations

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Integrated Math 3

Practice

Problem 1
Student Task Statement
Use the base-2 log table (printed in the lesson) to approximate the value of each exponential expression.

Use the base-2 log table to find or approximate the value of each logarithm.

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Problem 2

Student Task Statement

Here is a logarithmic expression: .

How do we say the expression in words?
Explain in your own words what the expression means.
What is the value of this expression?

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Problem 3

Student Task Statement

What is ? What about ?
What is ? What about ?
If , then is equal to what power of ?

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Problem 4

ForLesson 4: Representing Functions at Rational Inputs

Student Task Statement

In order for an investment, which is increasing in value exponentially, to increase by a factor of 5 in 20 years, about what percent does it need to grow each year? Explain how you know.

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Problem 5

ForLesson 7: Interpreting and Using Exponential Functions

Student Task Statement

Here is the graph of the amount of a chemical remaining after it was first measured. The chemical decays exponentially.

<p>Coordinate plane, horizontal, w, weeks since measurement, vertical, amount of chemical, milligrams. A curve begins at 0 comma 800 and decreases as w increases toward approximately 3 comma 220.</p>

What is the approximate half-life of the chemical? Explain how you know.

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Problem 6

ForLesson 8: Unknown Exponents

Student Task Statement

Find each missing exponent.

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Problem 7

ForLesson 9: What Is a Logarithm?

Student Task Statement

Explain why .

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Problem 8

ForLesson 9: What Is a Logarithm?

Student Task Statement

How are the two equations and related?

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Lesson 10 Resources

Student Materials