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Alg2 lesson 10-3
- 2. Find log3 14 = log3 (2)(7) = log3 2 + log3 7 = 0.6310 + 1.7712 = 2.4022
- 4. log3 4 = log3 = log3 20 – log3 5 = 2.7268 – 1.4650 = 1.2618 20 5
- 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
- 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