Chap8 Section5

Elementary and Intermediate Algebra: Graphs & Models (3rd Edition)

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Section 8.5 Logarithmic Functions 829 Version: Fall 2007 8.5 Exercises In Exercises 1 - 18 , find the exact value of the function at the given value b . 1. f ( x ) = log 3 ( x ) ; b = 5 3 . 2. f ( x ) = log 5 ( x ) ; b = 3125 . 3. f ( x ) = log 2 ( x ) ; b = 1 16 . 4. f ( x ) = log 2 ( x ) ; b = 4 . 5. f ( x ) = log 5 ( x ) ; b = 5 . 6. f ( x ) = log 2 ( x ) ; b = 8 . 7. f ( x ) = log 2 ( x ) ; b = 32 . 8. f ( x ) = log 4 ( x ) ; b = 1 16 . 9. f ( x ) = log 5 ( x ) ; b = 1 3125 . 10. f ( x ) = log 5 ( x ) ; b = 1 25 . 11. f ( x ) = log 5 ( x ) ; b = 6 5 . 12. f ( x ) = log 3 ( x ) ; b = 3 3 . 13. f ( x ) = log 6 ( x ) ; b = 6 6 . 14. f ( x ) = log 5 ( x ) ; b = 5 5 . 15. f ( x ) = log 2 ( x ) ; b = 6 2 . 16. f ( x ) = log 4 ( x ) ; b = 1 4 . 17. f ( x ) = log 3 ( x ) ; b = 1 9 . 18. f ( x ) = log 4 ( x ) ; b = 64 . Copyrighted material. See: 1 In Exercises 19 - 26 , use a calculator to evaluate the function at the given value p . Round your answer to the nearest hundredth. 19. f ( x ) = ln( x ) ; p = 10 . 06 . 20. f ( x ) = ln( x ) ; p = 9 . 87 . 21. f ( x ) = ln( x ) ; p = 2 . 40 . 22. f ( x ) = ln( x ) ; p = 9 . 30 . 23. f ( x ) = log( x ) ; p = 7 . 68 . 24. f ( x ) = log( x ) ; p = 652 . 22 . 25. f ( x ) = log( x ) ; p = 6 . 47 . 26. f ( x ) = log( x ) ; p = 86 . 19 . In Exercises 27 - 34 , solve the given equa- tion, and round your answer to the near- est hundredth. 27. 13 = e 8 x 28. 2 = 8 e x 29. 19 = 10 8 x 30. 17 = 10 2 x 31. 7 = 6(10) x 32. 7 = e 9 x 33. 13 = 8 e x 34. 5 = 7(10) x
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830 Chapter 8 Exponential and Logarithmic Functions
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