1. (x4)(x7) = x11 log4 6 = log4 2 + log4 3

2. Find log3 14 = log3 (2)(7) = log3 2 + log3 7 = 0.6310 + 1.7712 = 2.4022

3. x7x2 = x5 log6 15 log6 3 log6 5 =

4. log3 4 = log3 = log3 20 – log3 5 = 2.7268 – 1.4650 = 1.2618 20 5

5. (x4)5 = x20 log7 43 = 3 log7 4

6. Find log4 36 = log4 62 = 2 log4 6 = 2(1.2925) = 2.585

7. logb b = 1 log4 4 = 1 log9 9 = 1

8. log3 4 = 1.2618 Find log3 48 = log3 (3)(42) = log3 3 + log3 42 = log3 3 + 2 log3 4 = 1 + 2(1.2618) = 1 + 2.5236 = 3.5236

9. Find = log2 (3)(25) = log2 3 + log2 25 = log2 3 + 5 log2 2 = 1.5850 + 5(1) = 6.5850 Example 3-1b

10. Find Example 3-1a

11. Solve or Example 3-5c

12. Solve . Example 3-5a

13. Solve log2 x(x – 6) = 4 x(x – 6) = 24 x2 – 6x – 16 = 0 (x – 8)(x + 2) = 0 x = 8 or x = -2 Example 3-5e

14. Solve log3 x2 – log3 62 = log3 4 log3 x2 – log3 36 = log3 4 log3 = log3 4 = 4 x2 = 144 x = 12 or x = -12 x236 x236 Example 3-5e