Properties of Logarithms

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    22-Feb-2016
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Properties of Logarithms. T hese properties are based on rules of exponents since logs = . exponents. I. . Because in exponential form (any number to the zero power = 1). 5 to w hat power = 1?. 0. =. =. Example: . Example: . 0. - PowerPoint PPT Presentation

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Properties of Logarithms

Properties of LogarithmsThese properties are based on rules of exponents since logs = exponentsExample: 5 to what power = 1?0Example: 0Example: 5 to what power = 5?1Example: 1III. Product Rule Examples: IV. Quotient Rule Examples: V. Power Rule Examples: VI. Change of Base FormulaExample: These properties remain the same when working with the natural log.True or False:

TrueTrueTrueTrueTrueTrueTrueFalseFalseFalseFalseFalseUse properties of logarithms to determine if each of the following is true or false. Check your answers using your calculator

Use the properties of logs to expand the following expressions:

1.

1. Apply Product Rule:

2. Apply Power Rule:

Use the properties of logs to expand the following expressions:2.

1. Apply Product Rule:

2. Apply Power Rule:

Use the properties of logs to expand the following expressions:3.

2. Apply Product Rule:

1. Apply Quotient Rule:

Use the properties of logs to expand the following expressions:4.

2. Apply Product Rule:

1. Change radical to exponential form:

3. Apply Power Rule:

Use the properties of logs to expand the following expressions:5.

2. Apply Product Rule:

3. Apply Power Rule:

Write as a single logarithmic expression.

5.

1. Apply Reverse Power Rule:

2. Apply Reverse Quotient Rule:

3. Change to radical form

Write as a single logarithmic expression.

6.

2. Simplify1. Apply Reverse Product Rule:

Write as a single logarithmic expression.

6.

2. Apply Reverse Product Rule:

1. Apply Reverse Power Rule:

Practice Time