3/10/2016 2:59 PM7.4 - Properties of Logarithms Honors1 Properties of Logarithms Section 7.4.

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Presentation transcript:

3/10/2016 2:59 PM7.4 - Properties of Logarithms Honors1 Properties of Logarithms Section 7.4

3/10/2016 2:59 PM7.4 - Properties of Logarithms Honors2 Review Product: Quotient: Power: n + m n – m n* m

3/10/2016 2:59 PM7.4 - Properties of Logarithms Honors3 Review Review: What’s and Answer: 8 and 16 because its 2 · 2 · 2 = 8 and 2 · 2 · 2 · 2 = 16. So we know that and. However, what’s We’ll answer that question later…

3/10/2016 2:59 PM7.4 - Properties of Logarithms Honors4 Properties of Logarithms Product: Quotient: Power:

3/10/2016 2:59 PM7.4 - Properties of Logarithms Honors5 Example 1 simplify as a single logarithm. What is the operation shown in this problem? MULTIPLY/PRODUCT

3/10/2016 2:59 PM7.4 - Properties of Logarithms Honors6 Example 2 simplify as a single logarithm. What is the operation shown in this problem? MULTIPLY/PRODUCT

3/10/2016 2:59 PM7.4 - Properties of Logarithms Honors7 Example 3 simplify as a single logarithm. What is the operation shown in this problem? DIVIDE/QUOTIENT

3/10/2016 2:59 PM7.4 - Properties of Logarithms Honors8 Your Turn simplify as a single logarithm. What is the operation shown in this problem? DIVIDE/QUOTIENT

3/10/2016 2:59 PM7.4 - Properties of Logarithms Honors9 Example 4 simplify as a single logarithm. What is the operation shown in this problem? POWER PROPERTY

3/10/2016 2:59 PM7.4 - Properties of Logarithms Honors10 Your Turn simplify as a single logarithm. What is the operation shown in this problem? POWER PROPERTY

3/10/2016 2:59 PM7.4 - Properties of Logarithms Honors11 Example 5 simplify as a single logarithm.

3/10/2016 2:59 PM7.4 - Properties of Logarithms Honors12 Example 6 Solve for x,

3/10/2016 2:59 PM7.4 - Properties of Logarithms Honors13 Example 7 Solve for x,

3/10/2016 2:59 PM7.4 - Properties of Logarithms Honors14 Example 8 simplify as a single logarithm.

3/10/2016 2:59 PM7.4 - Properties of Logarithms Honors15 Example 9 simplify

3/10/2016 2:59 PM7.4 - Properties of Logarithms Honors16 Your Turn 1.Simplify: 2.Simplify: 3.Simplify: 4.Simplify:

3/10/2016 2:59 PM7.4 - Properties of Logarithms Honors17 Example 12 The Richter magnitude of an earthquake, M, is related to the energy released in ergs, E, by the formula.. Find the energy released by an earthquake of magnitude 4.2.

3/10/2016 2:59 PM7.4 - Properties of Logarithms Honors18 Assignment Pg 516: all, omit use without a graphing calculator