Chap8 Section6

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

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Section 8.6 Properties of Logarithms; Solving Exponential Equations 841 Version: Fall 2007 8.6 Exercises In Exercises 1 - 10 , use a calculator to evaluate the function at the given value p . Round your answer to the nearest hundredth. 1. f ( x ) = log 4 ( x ) ; p = 57 . 60 . 2. f ( x ) = log 4 ( x ) ; p = 11 . 22 . 3. f ( x ) = log 7 ( x ) ; p = 2 . 98 . 4. f ( x ) = log 3 ( x ) ; p = 2 . 27 . 5. f ( x ) = log 6 ( x ) ; p = 2 . 56 . 6. f ( x ) = log 8 ( x ) ; p = 289 . 27 . 7. f ( x ) = log 8 ( x ) ; p = 302 . 67 . 8. f ( x ) = log 5 ( x ) ; p = 15 . 70 . 9. f ( x ) = log 8 ( x ) ; p = 46 . 13 . 10. f ( x ) = log 4 ( x ) ; p = 15 . 59 . In Exercises 11 - 18 , perform each of the following tasks. a) Approximate the solution of the given equation using your graphing calcu- lator. Load each side of the equa- tion into the Y= menu of your calcu- lator. Adjust the WINDOW parameters so that the point of intersection of the graphs is visible in the viewing window. Use the intersect utility in the CALC menu of your calculator to determine the x-coordinate of the point of intersection. Then make an accurate copy of the image in your viewing window on your homework Copyrighted material. See: http://msenux.redwoods.edu/IntAlgText/ 1 paper. b) Solve the given equation algebraically, and round your answer to the nearest hundredth. 11. 20 = 3(1 . 2) x 12. 15 = 2(1 . 8) x 13. 14 = 1 . 4 5 x 14. 16 = 1 . 8 4 x 15. 4 = 0 . 2 x 9 16. 12 = 2 . 9 x + 2 17. 13 = 0 . 1 x +1 18. 19 = 1 . 2 x 6 In Exercises 19 - 34 , solve the given equa- tion algebraically, and round your an- swer to the nearest hundredth. 19. 20 = e x 3 20. 4 = e x 9 21. 23 = 0 . 9 x + 9 22. 10 = e x + 7 23. 19 = e x + 5 24. 4 = 7(2 . 3) x 25. 18 = e x +4 26. 15 = e x +6 27. 8 = 2 . 7 3 x
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842 Chapter 8 Exponential and Logarithmic Functions Version: Fall 2007 28. 7 = e x +1 29. 7 = 1 . 1 8 x 30. 6 = 0 . 2 x 8 31. 7 = 1 . 3 x 9 32. 11 = 3(0 . 7) x 33. 23 = e x + 9 34. 20 = 3 . 2 x +1 35. Suppose that you invest $17,000 at 6% interest compounded daily. How many years will it take for your investment to double? Round your answer to the near- est hundredth.
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