7-4 Properties of Logarithms Warm Up Lesson Presentation Lesson ...

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Example 13: Geology Application The tsunami that devastated parts of Asia in December 2004 was spawned by an earthquake with magnitude 9.3 How many times as much energy did this earthquake release compared to the 6.9-magnitude earthquake that struck San Francisco in1989? The Richter magnitude of an earthquake, M, is related to the energy released in ergs E given by the formula. Substitute 9.3 for M.
E 13.95 = log 10 Example 13 Continued 11.8 3 Multiply both sides by 2 . Simplify. Apply the Quotient Property of Logarithms. Apply the Inverse Properties of Logarithms and Exponents.
Page 1 and 2: 7-4 Properties of Logarithms Warm U
Page 3 and 4: The logarithmic function for pH tha
Page 5 and 6: The property in the previous slide
Page 7 and 8: Express as a single logarithm. Simp
Page 9 and 10: The property above can also be used
Page 11 and 12: Express log 7 343 - log 7 7 as a si
Page 13 and 14: Example 5: Simplifying Logarithms w
Page 15 and 16: Exponential and logarithmic operati
Page 17 and 18: a. Simplify log10 0.9 Check for und
Page 19 and 20: Example 9: Changing the Base of a L
Page 21 and 22: Evaluate log 9 27. Method 1 Change
Page 23 and 24: Evaluate log 8 16. Method 2 Change
Page 25: Logarithmic scales are useful for m
Page 29 and 30: Example 13 Continued Substitute 6.9

7-4 Properties of Logarithms Warm Up Lesson Presentation Lesson ...

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