1. Evaluate Logarithms
Chapter 4.5

2. Review on Expanding and Condensing
Condense log 9+3 log 2− log 3

3. Apply properties of logarithms given the following: 𝑙𝑜𝑔 4 3≈0
Apply properties of logarithms given the following: 𝑙𝑜𝑔 4 3≈0.792 and 𝑙𝑜𝑔 4 7≈1.404
𝑙𝑜𝑔
𝑙𝑜𝑔 4 21
𝑙𝑜𝑔 4 49

4. Use 𝑙𝑜𝑔 6 5≈0.898 and 𝑙𝑜𝑔 6 8≈1.161 to evaluate the following logarithms.
𝑙𝑜𝑔
𝑙𝑜𝑔 6 40
𝑙𝑜𝑔 6 64
𝑙𝑜𝑔 6 125

5. Use 𝑙𝑜𝑔 3 12≈2.262 and 𝑙𝑜𝑔 3 2≈0.631 to evaluate the following logarithms.
𝑙𝑜𝑔 3 6
𝑙𝑜𝑔 3 24
𝑙𝑜𝑔 3 32

6. Change of Base Formula – Pg. 260
**Allows use to evaluate any logarithm, no matter what base it has, using a calculator.

7. Use the change of base formula to evaluate the following logarithms.
𝑙𝑜𝑔 3 8
𝑙𝑜𝑔 5 8
𝑙𝑜𝑔 8 14
𝑙𝑜𝑔 26 9

8. Use the change of base formula to evaluate the following logarithms.
𝑙𝑜𝑔 12 30
𝑙𝑜𝑔 3 15
𝑙𝑜𝑔 6 17
𝑙𝑜𝑔 9 27

9. Practice Problems
Pg. 265 #16-19