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8­4 Properties of Logarithms April 06, 2009 8­4 Properties of Logarithms Objective: Discover and use the properties of logarithms. Mar 20­12:58 PM 1 8­4 Properties of Logarithms April 06, 2009 Check Skills You'll Need Simplify each expression. 1. log2 4 + log2 8 2. log3 9 ­ log3 27 3. log2 16/log2 64 Evaluate each expression for x = 3. 4. x3 ­ x 5. x5 x2 6. x6/x9 7. x3 + x2 Mar 20­1:07 PM 2 8­4 Properties of Logarithms April 06, 2009 With your partner or group, complete the Properties of Logarithms Activity. Mar 20­1:19 PM 3 8­4 Properties of Logarithms April 06, 2009 From your activity, you should have discovered the following properties: You can use the properties of logarithms to rewrite logarithmic expressions. Mar 20­1:22 PM 4 8­4 Properties of Logarithms April 06, 2009 Identifying the Properties of Logarithms State the property or properties used to rewrite each expression: a. log2 8 ­ log2 4 = log2 2 b. logb x3y = 3 logb x + logb y Mar 20­1:29 PM 5 8­4 Properties of Logarithms April 06, 2009 Simplifying Logarithms Write each logarithmic expression as a single logarithm. a. log3 20 ­ log3 4 b. 3 log2 x + log2 y c. 3 log 2 + log 4 ­ log 16 Mar 20­1:43 PM 6 8­4 Properties of Logarithms April 06, 2009 Expanding Logarithms Expand each logarithm. a. log5 (x/y) b. log 3r4 c. log2 7b d. log (y/3)2 e. log7 a3b4 f. log √3b Mar 20­1:47 PM 7 8­4 Properties of Logarithms April 06, 2009 HOMEWORK p. 457 #2­30 even, 33­41 Mar 20­2:05 PM 8