1. Properties of Logarithms

2. Properties of Logarithms
Let b, M, and N be positive numbers such that b≠1.
Product property:
logbMN = logbM + logbN
Quotient property:
logbM/N = logbM – logbN
Power property:
logbMn = n logbM

3. Product Rule logbMN = LogbM + logbN Ex: logbxy = Ex: log3x =

4. Quotient Rule
Ex:

5. Power Rule
Ex:

6. Expand
1) log ab
2) log8 (a4b6)

7. Expand
1) log6 (wuv2)5
2) log4 (u6/v)
3) log2 (u6v2/xy)

8. Application packet

9. Condense
3 log u
Log x – log y
6 log3 x – 3 log3 y
6 log u + 12 log v

10. Condense 1) 6 log u – 30 log v 2) 5 log u + 6 log v + log w
3) 15 log z + 15 log y – 5 log x

11. Condense Log z + ½ Log x + ½ log y Log z + 1/3 log a – log y
Log y + log z + log w + ½ log x

12. Practice Condense: 1) 3 log x + log y 2) 3 log 2 + log x – log z

13. Practice Evaluate: Log24 Log28 Log24 + log28 Log39 Log327

14. Application packet
Due next class