Math Lesson­2.notebook
January 16, 2015
Daily Objective
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Students will learn how to use the calculator to evaluate a logarithm when the base is not 10 or e by learning the change­of­base formula.
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Math Lesson­2.notebook
January 16, 2015
7.5 Apply Properties of Logarithms
Day 1
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Properties of Logarithms: **b ≠ 1
logb mn = logb m + logb n
Product Property~
logb m/n = logb m ­ logb n
Quotient Property~
logb mn = n logb m
Power Property~
Ex. 1: Use log4 3 ≈ 0.792 & log4 7 ≈ 1.404 to evaluate.
a. log4 3/7 = b. log4 21 = c. log4 49 = 2
Math Lesson­2.notebook
January 16, 2015
YOU PRACTICE
Use log6 5 ≈ 0.898 & log6 8 ≈ 1.161 to evaluate.
1. log6 5/8 = 2. log6 40 = 3. log6 64 = 4. log6 125 = 3
Math Lesson­2.notebook
January 16, 2015
Ex. 2: Expand log6 5x3
y
Ex. 3: Which of the following is equivalent to log 9 + 3 log 2 ­ log 3?
a. log 8 b. log 14 c. log 18 d. log 24
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Math Lesson­2.notebook
January 16, 2015
YOU PRACTICE
5. Expand log 3x4.
6. Condense ln 4 + 3 ln 3 ­ ln 12 5
Math Lesson­2.notebook
January 16, 2015
7.5 Quiz Friday!
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