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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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