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Warm-Up

Warm-Up. Give the log or exponential form of the following statements:. Properties of Logs. Section 7.2.1. Learning Targets. Determine the Power Property of Logs How to use the Power Property of Logs. P. 330 7-88. a) Compare the graphs of… Are the graphs the same?

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Warm-Up

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  1. Warm-Up • Give the log or exponential form of the following statements:

  2. Properties of Logs Section 7.2.1

  3. Learning Targets • Determine the Power Property of Logs • How to use the Power Property of Logs

  4. P. 330 7-88 • a) Compare the graphs of… • Are the graphs the same? • b) Convert both logs into exponential form to prove your answer from part a

  5. 7-89 • Use either strategy from 7-88 to determine if the following statements are true or false: • A) FALSE • B) FALSE • C) TRUE • D) FALSE

  6. Lets Take a Closer Look • This was the only statement of the four that was true. What do you notice about it? • Base? • Exponent? • New Form?

  7. Does this always hold true? • Check the graphs or values of the following:

  8. Rewrite the Following Statements

  9. Power Property of Logs • This is known as the Power Property of Logs • The log is always in base 10 • The exponent is brought down and multiplies the log of b • This is a much more useful way to determine the value of variables in the exponents than always having to convert to log form and solve using different bases

  10. Using the Power Property • We can use this property in order to solve for variables that are exponents • Lets use as an example

  11. Using the Power Property • Remember this is algebra, what we do to one side of the equation has to be done to the other side!!!

  12. We could also write it as… • Remember this is algebra, what we do to one side of the equation has to be done to the other side!!!

  13. Practice: 7-93 (p. 330)

  14. For Tonight: • Homework: • 7-95, 7-98, 7-100, 7-101

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