College Algebra, 4th Edition

Building Skills

1. 9. 0.78

2. 11. 0.7

3. 13. $-1.7$

4. 15. 7.3

5. 17. ${\displaystyle \frac{16}{3}}$

6. 19. 0.56

7. 21. $\text{ln }(x)+\text{ln }(x-1)$

8. 23. $\text{ ln }(x+1)-2\text{ ln }(x-2)$

9. 25. ${\displaystyle \frac{1}{2}}{\log }_{a}x+3{\log }_{a}y$

10. 27. ${\displaystyle \frac{1}{3}}{\log }_{a}x-{\displaystyle \frac{1}{3}}{\log }_{a}y$

11. 29. ${\displaystyle \frac{1}{4}}{\log }_{2}x+{\displaystyle \frac{1}{2}}{\log }_{2}y-{\displaystyle \frac{3}{4}}$

12. 31. ${\displaystyle \frac{1}{2}}\log (x^2+1)-\log (x+3)$

13. 33. ${\log }_3(x-1)+{\log }_3(x+1)-{\log }_3(x-2)-{\log }_3(x+2)$

14. 35. $2{\log }_{b}x+3{\log }_{b}y+{\log }_{b}z$

15. 37. $\text{ln }x+{\displaystyle \frac{1}{2}}\text{ ln }(x-1)-\text{ln }(x^2+2)$

16. 39. $2\text{ ln }(x+1)-\text{ln }(x-3)-{\displaystyle \frac{1}{2}}\text{ ln }(x+4)$

17. 41. $\text{ln }(x+1)+{\displaystyle \frac{1}{2}}\text{ ln }(x^2+2)-{\displaystyle \frac{1}{2}}\text{ ln }(x^2+5)$

18. 43. $3\text{ ln }x+4\text{ ln}(3x+1)-{\displaystyle \frac{1}{2}}\text{ ln}(x^2+1)+5\text{ ln}(x+2)-2\text{ ln}(x-3)$

19. 45. ${\log }_2(7x)$

20. 47. $\log {\displaystyle \frac{3x+2}{x}}$

21. 49. ${\ln y}^2\sqrt{x}$

22. 51. $\log \left({\displaystyle \frac{z\sqrt{x}}{y}}\right)$

23. 53. ${\log }_2{(z{y}^2)}^{1/5}$

24. 55. $\text{ln }(x{y}^2{z}^3)$

25. 57. $\log {\displaystyle \frac{x^3\sqrt{x^2+4}}{y}}$

26. 59. $\text{ln }\left({\displaystyle \frac{x^2}{\sqrt{x^2+1}}}\right)$

27. 61. $1.4036\cdot {10}^{217}$

28. 63. $9.3762\cdot {10}^{1897}$

29. 65. ${234}^{567}$

30. 67. 362

31. 69. 2.322

32. 71. $-1.585$

33. 73. 1.760

34. 75. 3.6

35. 77. ${\displaystyle \frac{1}{2}}$

36. 79. 1

37. 81. 18

38. 83. 2

39. 85. $y=2-\log x$

40. 87. $y=2-\text{ln }x$

41. 89. $y=1+3{\text{ log}}_{5}x$

42. 91. $y=-1+5{\text{ log}}_{2}x$

43. 93. ...