Properties of Logarithms These properties are based on

Properties of Logarithms These properties are based on rules of exponents since logs = exponents

Example: 0 0 5 to what power = 1?

Example: 1 1 5 to what power = 5?

III. Product Rule Examples:

IV. Quotient Rule Examples:

V. Examples: Power Rule

VI. Change of Base Formula Example: These properties remain the same when working with the natural log.

Use properties of logarithms to determine if each of the following is true or false. Check your answers using your calculator True or False: True False True False True

Use the properties of logs to expand the following expressions: 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. 1. Apply Quotient Rule: 2. Apply Product Rule:

Use the properties of logs to expand the following expressions: 4. 1. Change radical to exponential form: 2. Apply Product Rule: 3. Apply Power Rule:

Use the properties of logs to expand the following expressions: 5. 2. Apply Product Rule: 3. Apply Power Rule:

Practice Time

Write as a single logarithmic expression. 1. Apply Reverse Power Rule: 2. Apply Reverse Quotient Rule: 3. Change to radical form

Write as a single logarithmic expression. 2. 1. Apply Reverse Product Rule: 2. Simplify

Write as a single logarithmic expression. 1. Apply Reverse Power Rule: 3. 2. Apply Reverse Product Rule:

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