Applying the Concepts

41. 7.4; basic
43.
1. $7.1 \cdot 10^{- 4}$ $7.1 \cdot 10^{- 4}$
2. $6.3 \cdot 10^{- 8}$ $6.3 \cdot 10^{- 8}$
3. $1.7 \cdot 10^{- 8}$ $1.7 \cdot 10^{- 8}$
4. $10^{- 3}$ $10^{- 3}$
45. $1.6 \cdot 10^{- 4};$ $1.6 \cdot 10^{- 4};$ about 160 times more
47. ${pH}_{A} = p H_{B} - 2$ ${pH}_{A} = p H_{B} - 2$
49. pH decreased by $\log 50 \approx 1.7;$ $\log 50 \approx 1.7;$ more acidic
51.
1. $6.3 \cdot 10^{7} I_{0}$ $6.3 \cdot 10^{7} I_{0}$
2. $1.259 \cdot 10^{16}$ $1.259 \cdot 10^{16}$
53.
1. $I_{A} = 10 I_{B}$ $I_{A} = 10 I_{B}$
2. $E_{A} = 31.6 E_{B}$ $E_{A} = 31.6 E_{B}$
55. $\log 150 \approx 2.18$ $\log 150 \approx 2.18$
57. $\approx 77$ $\approx 77$ dB
59. $\approx 3.16 \cdot 10^{6}$ $\approx 3.16 \cdot 10^{6}$ times as intense
61. 160 dB
63. $I_{2} \approx 1.26 I_{1} .$ $I_{2} \approx 1.26 I_{1} .$
65. $\approx 4$ $\approx 4$ cents more
67. $\approx 3.98 \cdot 10^{5}$ $\approx 3.98 \cdot 10^{5}$
69. $\approx 1.58 \cdot 10^{9}$ $\approx 1.58 \cdot 10^{9}$
71. $\approx - 5.4$ $\approx - 5.4$
73. $y = 25.72 e^{0.511 x}$ $y = 25.72 e^{0.511 x}$
75. $y = 66.654 - 10.367 ln x$ $y = 66.654 - 10.367 ln x$

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Table of Contents for Applying the Concepts