Algebra 2 7-5 Guided Practice: Exponential and Logarithmic Equations

by Matthew Richardson

| 13 Questions1

10

Solve It! You're a winner on a TV game show. Which prize is the better deal? Explain.

Prize A is the better deal.

Prize A is the better deal for the first 3 weeks, but then Prize B is the better deal.

Prize B is the better deal.

Prize B is the better deal for the first 3 weeks, but then Prize A is the better deal.

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3

2

10

Take Note: Define exponential equation.

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Take Note: Provide an example of an exponential equation.

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10

Problem 1 Got It?

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B

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D

5

5

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Take Note: Describe the process of solving exponential equations with different bases by taking the logarithm of both sides.

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Problem 2 Got It? What is the solution? Round your answer to the hundredths place.

Problem 1 is provided here to help you respond to the Problem 2 Got It? item that follows.

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Problem 2 Got It? Reasoning: Why can't you use the same method you used in Problem 1 to solve Problem 2?

You can't use the same method because the terms cannot be written with a common base.

You can't use the same method because 3 is a factor of 285.

You can't use the same method because the coefficient of x is odd.

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8

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Problem 3 Got It?

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B

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D

9

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Problem 3 Got It?

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B

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D

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10

Problem 4 Got It? Resource Management: Wood is a sustainable, renewable, natural resource when you manage forests properly. Your lumber company has 1,200,000 trees. You plan to harvest 5% of the trees each year. How many years will it take to harvest half of the trees?

A

B

C

D

11

11

10

Problem 5 Got It?

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B

C

D

12

12

10

Problem 6 Got It?

A

B

C

D

13

13

10

Take Note: Summarize the content of this lesson.

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