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Log Functions - Using Properties of Logs Worksheet (Lesson 6) Pd.

Simplify

1. [pic] 2. [pic] 3. logt t9 4. logp pa

5. log2 64 6. log4 64 7. log10 102 8. log10 10

9. log10 10,000 10. log10 1

Express as a single log:

11. loga 6 + loga 70 12. logb 65 - logb 2

Express as a product:

13. loga x3 14. log3 t12

Express in terms of logarithms of x, y, and z (a.k.a. Expand the log):

15. logb x2y3z 16. [pic]

Express as a single logarithm:

17. [pic] 18. [pic]

Apply the laws of logarithms to find the value without a calculator.

19. log 50 + log 2 = x 20. [pic] = x

21. log 80 + log 5 – log 4 = x 22. log3 54 – log3 4 + log3 6 = x

23. [pic]= x 24. log5 10 + log5 50 – 2 log5 2 = x

25. ½ log5 1 – 2log5 5 = x 26. log 25 – log 5 + log 20 = x

27. log2 4 – log2 16 = x 28. 2log8 4 – 1/3log8 8 = x

29. 2log 5 + ½ log 16 = x 30. log 200 – log 2 + log 1 = x

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