1. Warm Up Simplify each expression 1. log24 + log28 2. log39 – log327
Evaluate each expression for x=3
4. x³ - x
5. x5 x²
6. x6/x9
7. x³ + x²

2. Answers
1. 5
2. -1
3. 2/3
4. 24
6. 1/27
7. 36

3. L8-4 Objective: Students will use the properties of logarithms

4. State the property or properties used to rewrite each expression.
Properties of Logarithms
State the property or properties used to rewrite each expression.
a. log 6 = log 2 + log 3
b. logb = 2 logb x – logb y x2 y

5. Write each logarithmic expression as a single logarithm.
Properties of Logarithms
Write each logarithmic expression as a single logarithm.
a. log4 64 – log4 16
b. 6 log5 x + log5 y

6. Expand each logarithm. a. log7 b. log(4p3) t u
Properties of Logarithms
Expand each logarithm.
a. log7 t u
b. log(4p3)

7. Practice
1. log320 - log34
2. Write 3log 2 + log 4 – log 16 as a single log.
3. Expand log5 x/y
4. Expand log 6r5
5. Expand log(y/3)2
6. Expand log6a3 b4
7. Evaluate log24 – log216
8. Evaluate log33 + 5log33

8. HW: L8.4 (p. 465) #12-30e, 34-40e 44-54e 58-68e 72-76e