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Exercises 13.3, page 384

1. $\log_{4} 3 + \log_{4} 7$ $\log_{4} 3 + \log_{4} 7$
3. $\log_{4} (\frac{5}{x})$ $\log_{4} (\frac{5}{x})$
5. 3
7. $\frac{1}{2}$ $\frac{1}{2}$
9. $\log_{5} 3 + \log_{5} 11$ $\log_{5} 3 + \log_{5} 11$
11. $\log_{7} 9 - \log_{7} 2$ $\log_{7} 9 - \log_{7} 2$
13. $3 \log_{2} a$ $3 \log_{2} a$
15. $\log_{6} a + \log_{6} b + 2 \log_{6} c$ $\log_{6} a + \log_{6} b + 2 \log_{6} c$
17. $5 \log_{5} t$ $5 \log_{5} t$
19. $\frac{1}{2} \log_{2} x - 2 \log_{2} a$ $\frac{1}{2} \log_{2} x - 2 \log_{2} a$
21. $\log_{b} a c$ $\log_{b} a c$
23. $\log_{5} 3$ $\log_{5} 3$
25. $\log_{b} x^{5/2}$ $\log_{b} x^{5/2}$
27. $\log_{e} \frac{4 π^{3}}{3}$ $\log_{e} \frac{4 π^{3}}{3}$
29. $- 5$ $- 5$
31. 2.5
33. 3
35. 8
37. $2 + \log_{3} 2$ $2 + \log_{3} 2$
39. $2 - \log_{2} 7$ $2 - \log_{2} 7$
41. $\frac{1}{2} (1 + \log_{3} 2)$ $\frac{1}{2} (1 + \log_{3} 2)$
43. $3 + \log_{10} 3$ $3 + \log_{10} 3$
45. $y = 2 x$ $y = 2 x$
47. $y = \frac{3 x}{5}$ $y = \frac{3 x}{5}$
49. $y = \frac{49}{x^{3}}$ $y = \frac{49}{x^{3}}$
51. $y = 2 {(2 a x)}^{1/5}$ $y = 2 {(2 a x)}^{1/5}$
53. $y = \frac{2}{x}$ $y = \frac{2}{x}$
55. $y = \frac{x^{2}}{25}$ $y = \frac{x^{2}}{25}$
57. $\log_{10} x + \log_{10} 3 = \log_{10} 3 x$ $\log_{10} x + \log_{10} 3 = \log_{10} 3 x$
59. $y = \log_{e} (e^{2} x) = 2 \log_{e} e + \log_{e} x = 2 + \log_{e} x$ $y = \log_{e} (e^{2} x) = 2 \log_{e} e + \log_{e} x = 2 + \log_{e} x$
61. 8
63. 2x
65. $y_{1} = y_{2}$ $y_{1} = y_{2}$
67. $D = a e^{c r^{2} - b r}$ $D = a e^{c r^{2} - b r}$
69. $T = 90.0 e^{- 0.23 t}$ $T = 90.0 e^{- 0.23 t}$

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Table of Contents for Exercises 13.3, page 384

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Table of Contents for
Exercises 13.3, page 384