1. Objectives:
Be able to identify the properties of logarithms.
Be able to simplify logarithms by using the properties.
Be able to expand logarithms by using the properties.
Be able to evaluate logarithms by using the properties.
Critical Vocabulary:
Identity Property
Product Property
Quotient Property
Power Property

2. I. Logarithmic Properties:
a. Identity Property
Example:
b. Product Property
Example 1:
Example 2:
c. Quotient Property
Example 1:

3. I. Logarithmic Properties:
d. Power Property
Example 1:
Example 2:
e. Pointless Property
Example:

4. II. Writing Single Logarithms (Condense)
Example 1:
(Product Property)
Example 2:
(Power Property)
(Quotient Property)
(Product Property)

5. II. Writing Single Logarithms (Condense)
Example 3:
(Power Property)
(Quotient Property)
(Simplify)

6. III. Expand Each Logarithms
Example 1:
(Quotient Property)
(Product Property)
(Power Property)
Example 2:
(Power Property)
(Product Property)
(Distribute)

7. IV. Evaluating Logarithms
Example 1:
(Quotient Property)
(Convert to Exponential)
Example 2:
(Power Property)
(Quotient Property)
(Convert to Exponential)

8. Theorem: If M=N, Then
This means if you take the log of both sides the problem
does not change.
Example:
(Convert to Exponential)
(Take log of both sides)
(Power Property)
(Division)

9. Page #3-41 odds
(20 problems)