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Applications of Common Logarithms Objective: Define and use common logs to solve exponential and logarithmic equations; use the change of base formula.

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Presentation on theme: "Applications of Common Logarithms Objective: Define and use common logs to solve exponential and logarithmic equations; use the change of base formula."— Presentation transcript:

1 Applications of Common Logarithms Objective: Define and use common logs to solve exponential and logarithmic equations; use the change of base formula.

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8 Example 1

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10 Example 2

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12 Example 3

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15 Try This Solve for x. Round your answer to the nearest hundredth.

16 Try This Solve for x. Round your answer to the nearest hundredth.

17 Change of Base Formula We will now learn how to evaluate logs of different bases. This will also give us another way to solve the problems we just did.

18 Change of Base Formula We will now learn how to evaluate logs of different bases. This will also give us another way to solve the problems we just did. For any positive real numbers

19 Change of Base Formula Looking back at example 3:

20 Change of Base Formula Looking back at example 3:

21 Example 4

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23 Try This Evaluate. Round your answer to the nearest hundredth.

24 Try This Evaluate. Round your answer to the nearest hundredth.

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26 Homework Pages 389-390 11-47 odd


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