1. 3.3
Properties of Logarithms
Essential Question:
How do you rewrite logarithmic expressions
to evaluate them?
1

2. What's a "logarithm?"
2

3. The Properties:
3

4. Please note…
Common Log:
Natural Log:
Change of Base:
4

5. 5

6. Ex. 1﴿ Expand.
a﴿
b﴿
6

7. Ex. 2﴿ Expand.
7

8. 8

9. Ex. 3﴿
If log 4=0.6021, log 5=0.6990, and
log 6=0.7782 find:
log 24
log 125
log 1/6
9

10. Ex. 4﴿ Condense into one logarithm.
a﴿
b﴿
10

11. Ex. 5﴿ Evaluate.
a﴿
b﴿
11

12. Ex. 6﴿ Evaluate.
12

13. Assignment:
3.3 WS Properties of Logarithms
13