1. Properties of logarithms
Chapter 4.5

2. Properties of Logarithms – Pg. 259

3. Expand each expression
𝑙𝑜𝑔 3 3𝑥
𝑙𝑜𝑔 5 𝑥 2
𝑙𝑜𝑔 8 𝑥 5
𝑙𝑜𝑔 6 8 𝑥 2
𝑙𝑛 9𝑥 4
𝑙𝑛 𝑥𝑦
𝑙𝑛 2𝑥 2 5

4. Expand each expression
8. 𝑙𝑜𝑔 2 6𝑦
9. 𝑙𝑜𝑔
10. 𝑙𝑛 𝑦 5
11. ln 8𝑦 7
12. 𝑙𝑜𝑔 7 𝑥 4 6
13. 𝑙𝑛 3 5𝑦

5. Condense each expression.
𝑙𝑜𝑔 2 3+ 𝑙𝑜𝑔 2 5
𝑙𝑜𝑔 3 4− 𝑙𝑜𝑔 3 3
2 log 3
5 log 𝑥 log 𝑥
ln 4+ ln 𝑥+ ln 𝑦
2 ln 𝑥− ln 4+ ln 𝑥

6. Condense each expression.
7. 𝑙𝑜𝑔 𝑙𝑜𝑔 5 3
8. 𝑙𝑜𝑔 7 7− 𝑙𝑜𝑔 7 8
9. 6 log 𝑥
10. 8 log 𝑦 log 𝑦
11. ln 9+ ln 𝑎+ ln 𝑏
12. 3 ln 𝑧− ln 8+ ln 𝑦

7. Practice Problems
Pg. 262 #16-24 even and #34-40 even