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84 Properties of Logarithms 2011
1
April 27, 2011
84 Properties of Logarithms
Objective: Discover and use the properties of logarithms.
84 Properties of Logarithms 2011
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April 27, 2011
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
84 Properties of Logarithms 2011
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April 27, 2011
With your partner or group, complete the Properties of Logarithms Activity.
84 Properties of Logarithms 2011
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April 27, 2011
1. log3 + log5 =
2. log1 + log7 =
3. log2 + log4 =
4. log10 + log2 =
5. log(3∎5) =
6. log(1∎7) =
7. log(2∎4) =
8. log(10∎2) =
Use a calculator to find each answer.
Explain the pattern.
84 Properties of Logarithms 2011
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April 27, 2011
84 Properties of Logarithms 2011
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April 27, 2011
From your activity, you should have discovered the following properties:
You can use the properties of logarithms to rewrite logarithmic expressions.
84 Properties of Logarithms 2011
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April 27, 2011
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
84 Properties of Logarithms 2011
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April 27, 2011
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
84 Properties of Logarithms 2011
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April 27, 2011
Expanding LogarithmsExpand each logarithm.
a. log5 ( ) b. log 3r4 c. log2 7b
d. log ( )2 e. log7 a3b4 f. log √3b y3
xy
84 Properties of Logarithms 2011
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April 27, 2011
HOMEWORKPractice 84
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