Mathematics Final Assessment 2021 Semester2 M.5/1/2

Master logarithms! Assess your skills in evaluating, expanding, and solving equations with this math worksheet.

Type your name, student number, and class below: This assessment consists of 2 parts:Part 1. Multiple-Choice...............................40 items = 20 pointsPart 2. Matching-Type..................................5 items = 5 pointsPart 3. Solving: ..........................................5 items = 5 pointsTOTAL .....................................................50 items = 30 points Part 1. Multiple-Choice. Click the letter of the correct answer. (20 points)1. Expand the following logarithm: 3log x - log y - 4log z 2logx + 1 (log y) - 4 z) 1 x + log y - log z) 2log x + log y - log z 2. Evaluate the following: -3 3 6 5 3. Evaluate the following: 1 2 -1 5 4. Evaluate the following: -2 -1 -3 -4 5. What is ln e? 0 1 -3 5 6. What is ln 1? 2 3 5 0 7. What is eln9 ? 9 1 1 -6 8. What is 3^log3(x^3 + 5) ? 5 x2 + 6 x3 + 5 3 9. What is e4lnx ? -3 x4 4 x3 10. What is 2e3lny ? -3 2y4 3 2y3 11. What is 5log5(y^9) ? y9 y4 5 9y5 12. Evaluate the following: -3 -2 -4 4 13. Evaluate the following: -2 -3 -1 0 14. Evaluate the following: log28 - log22 . -1 -2 5 2 15. Evaluate the following: log24 + log232 - log24. 5 1 2 -3 16. Which is equivalent to log28 = 3 ? 82 = 5 32 = 5 23 = 8 83 = 2 17. Which is equivalent to log39 = 2 ? 92 = 3 32 =9 23 = 8 83 = 2 18. Which is equivalent to log2x+5 = 3. (x + 5)2 = 3 (x + 5)3 =2 x2 = 3 23 = x + 5 19. Evaluate : log2(x+5) = 3 . x = 3 x = 2 x = -1 x = 1 20. Which is equivalent to log2(2x-3) = 2? (2x - 3)2 = 3 (2x - 3)3 = 2 32 = 2x - 3 22 = 2x - 3 21. Evaluate: log3 (2x - 3) = 2 . x = 21 x = 6 x = -23 x = 17 22. What is log558 ? 6 7 9 8 23. What is log2163 ? 12 2 3 16 24. What is log4642 ? 4 3 6 2 25. What is log392 ? 3 4 5 0 26. What is log392 + log4642? -6 -7 -9 10 27. What is log558 + log2163? 20 -10 -23 -26 28. Evaluate: log5(25)(125) . 2 3 5 -5 29. Evaluate: log5(25)125) - log5(25). 1 3 7 -6 30. Evaluate: log3(9)(27) . -3 -2 -6 5 31. Evaluate: log3(9)(27) - log3(9). 1 2 3 -4 32. What is 8 2 4 128 33. Evaluate: log2(128)(64) - log2(8)(16). 56 6 57 -47 34. Evaluate: log3(27) + log3(81). -4 -10 -11 7 35. What is: 30 2 3 -4 36. Which of the following is equivalent to log5125 = 3? 1252 = 5 5125 =3 53 = 125 35=125 37. Expand the following logarithm: 3log x - log y - 4log z 2log x + 1 y) - 4 z) 1 x + log y - log z) 2log x + log y - 4log z 38. Expand the following logarithm: 1 x - log y - 4log z) 1 x + log y - 4log z) 1 x + log y - log z) 1 x + log y - 5log z) 39. Expand the following logarithm: 2log a + 5log b - 6log c 3log a - 5log b + 6log c 2log a + 5log b + 6log c log a + log b + log c 40. Expand the following: 3log a + log b - 4log c 2log a + log b - 4log c 2log a + 1 b) - 2 c) 5log a + 3log b + log c Part 2. Matching-Type. (5 points)Drag to match or click the given then click the answer. 2 -2 1 3 -4 Part 3. Solving. Solve for x. (5 points) 5 1 10 24 -4