PED-HSM11A2TR-08-1103-006-L01.indd
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Properties of Logarithms
Write each expression as a single logarithm.
1. [pic] 2.[pic] 3. [pic]
4. [pic] 5. log 7 − log 3 + log 6 6. 2 log x − 3 log y
7. [pic] 8. log3 4x + 2 log3 5y 9. 5 log 2 − 2 log 2
10. 2 log 4 + log 2 + log 2 11. (log 3 − log 4) − log 2 12. 5 log x + 3 log x2
13. [pic] 14. log 2 + log 4 − log 7 15. [pic]
16. [pic] 17. 3(4 log t2)
Expand each logarithm. Simplify if possible.
18. log xyz 19. [pic] 20. [pic]
21. log 7(3x − 2)2 22. [pic] 23. [pic]
24. [pic] 25. [pic] 26. [pic]
Use the Change of Base Formula to evaluate each expression. Round your answer to the nearest thousandth.
27. [pic] 28. [pic] 29. [pic] 30. [pic]
31. [pic] 32. [pic] 33. [pic] 34. [pic]
35. The concentration of hydrogen ions in a batch of homemade ketchup is 10 − 4. What is the pH level of the ketchup?
Use the properties of logarithms to evaluate each expression.
36.[pic] 37. [pic] 38. [pic]
39. [pic] 40. [pic] 41. [pic]
State the property or properties used to rewrite each expression.
42. log 6 − log 3 = log 2 43. 6 log 2 = log 64 44. log 3x = log 3 + log x
45.[pic] 46.[pic] 47. [pic]
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