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# Alg2 lesson 10-3

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### Alg2 lesson 10-3

1. 1. (x4)(x7) = x11
2. 2. Find log3 14 = log3 (2)(7) = log3 2 + log3 7 = 0.6310 + 1.7712 = 2.4022
3. 3. x7x2 = x5
4. 4. log3 4 = log3 20 5 = log3 20 – log3 5 = 2.7268 – 1.4650 = 1.2618
5. 5. (x4)5 = x20
6. 6. Find log4 36 = log4 62 = 2 log4 6 = 2(1.2925) = 2.585
7. 7. logb b = 1log4 4 = 1log9 9 = 1
8. 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. 9. Find= log2 (3)(25)= log2 3 + log2 25= log2 3 + 5 log2 2= 1.5850 + 5(1)= 6.5850
10. 10. Find
11. 11. Solve or
12. 12. Solve .
13. 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
14. 14. Solve log3 x2 – log3 62 = log3 4 log3 x2 – log3 36 = log3 4 x2 log3 = log3 4 36 x2 = 4 36 x2 = 144 x = 12 or x = -12