Practice and Applications

7. 10,000
9. $\frac{1}{5}$ $\frac{1}{5}$
11. $- 6$ $- 6$
13. $\frac{2}{3}$ $\frac{2}{3}$
15. 6
17. 1000
19. $1 + \log_{3} 2 + \log_{3} x$ $1 + \log_{3} 2 + \log_{3} x$
21. $2 \log_{3} t$ $2 \log_{3} t$
23. $3 + \log_{2} 7$ $3 + \log_{2} 7$
25. $1 + \frac{1}{2} \log_{4} 3$ $1 + \frac{1}{2} \log_{4} 3$
27. $2 - \log_{3} x$ $2 - \log_{3} x$
29. $3 + 4 \log_{10} x$ $3 + 4 \log_{10} x$
31. $y = \frac{4}{x}$ $y = \frac{4}{x}$
33. $y = e^{2/3} x$ $y = e^{2/3} x$
35. $y = \sqrt{7 x}$ $y = \sqrt{7 x}$
37. $y = \frac{15}{x}$ $y = \frac{15}{x}$
39. $y = 8 x^{3}$ $y = 8 x^{3}$
41. $y = x^{3}$ $y = x^{3}$
43.
45.
47.
49.
51. $- 1.084$ $- 1.084$
53. 4.476
55. 5.814
57. $- 3.46$ $- 3.46$
59. 0.805
61. 4.30
63. 2
65. $- 0.2$ $- 0.2$
67.
69.
71. 4
73. 12
75. 77.1
77. 0
79. 2
81. 0.706
83. $1.28 \times 10^{- 5}$ $1.28 \times 10^{- 5}$ or 3.925
85. $4.593 \times 10^{6}$ $4.593 \times 10^{6}$
87.
1. $n = \frac{\log (A / A_{0})}{\log (1 + r)}$ $n = \frac{\log (A / A_{0})}{\log (1 + r)}$
2. 17.7 years
89. $I = I_{0} e^{- β h}$ $I = I_{0} e^{- β h}$
91. 5.4h
93. 2040
95.
97. $\sin θ = \frac{l ω^{2}}{3 g}$ $\sin θ = \frac{l ω^{2}}{3 g}$
99. $R = 2^{C / B} - 1$ $R = 2^{C / B} - 1$
101. 910 times brighter
103. 1.17 min
105. 0.813 cm
107. $- \frac{1}{k} ln (\frac{T - T_{1}}{T_{0} - T_{1}})$ $- \frac{1}{k} ln (\frac{T - T_{1}}{T_{0} - T_{1}})$
109. $n = 20 e^{- 0.04 t}$ $n = 20 e^{- 0.04 t}$
111.

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Table of Contents for Practice and Applications