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# Alg2 lesson 10-3

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### Alg2 lesson 10-3

1. 1. (x4)(x7) = x11<br />log4 6 = log4 2 + log4 3<br />
2. 2. Find log3 14 <br /> = log3 (2)(7)<br /> = log3 2 + log3 7<br /> = 0.6310 + 1.7712<br /> = 2.4022<br />
3. 3. x7x2<br />= x5<br />log6 15<br />log6 3<br />log6 5 = <br />
4. 4. log3 4 <br /> = log3<br /> = log3 20 – log3 5<br /> = 2.7268 – 1.4650<br /> = 1.2618<br />20 5<br />
5. 5. (x4)5 = x20<br />log7 43 = 3 log7 4<br />
6. 6. Find log4 36<br /> = log4 62<br /> = 2 log4 6<br /> = 2(1.2925)<br /> = 2.585<br />
7. 7. logb b = 1<br />log4 4 = 1<br />log9 9 = 1<br />
8. 8. log3 4 = 1.2618<br />Find log3 48<br /> = log3 (3)(42)<br /> = log3 3 + log3 42<br /> = log3 3 + 2 log3 4<br /> = 1 + 2(1.2618)<br /> = 1 + 2.5236<br /> = 3.5236<br />
9. 9. Find<br /> = log2 (3)(25)<br /> = log2 3 + log2 25<br /> = log2 3 + 5 log2 2<br /> = 1.5850 + 5(1)<br /> = 6.5850<br />Example 3-1b<br />
10. 10. Find <br />Example 3-1a<br />
11. 11. Solve<br />or<br />Example 3-5c<br />
12. 12. Solve .<br />Example 3-5a<br />
13. 13. Solve <br />log2 x(x – 6) = 4<br />x(x – 6) = 24<br />x2 – 6x – 16 = 0<br />(x – 8)(x + 2) = 0<br />x = 8 or x = -2<br />Example 3-5e<br />
14. 14. Solve <br />log3 x2 – log3 62 = log3 4<br />log3 x2 – log3 36 = log3 4<br />log3 = log3 4<br /> = 4<br />x2 = 144<br />x = 12 or x = -12<br />x236<br />x236<br />Example 3-5e<br />