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Review Exercises for Chapter 3 259
44. log 7 1 0
45.
log 4 1 4 log 4 4 1
46.
log 10 0.001 log 10 10 3
log 4 4
3
1
47.
gx log 2 x 5 5 ln x
ln 2
Domain: x > 0
Vertical asymptote: x 0
y
x-intercept:
32, 0
−1
9
8
7
6
5
4
3
2
1
1
2
3
4
5
6
7
8
9
x
48.
gx log 5 x 3
Vertical asymptote: x 3
Intercept: 4, 0
Domain: x > 3
x 3.2 4 8 28
y 1 0 1 2
−1
5
4
3
2
1
−2
−3
−4
−5
y
1
2
4
5
6
7
8
9
x
49.
f x log 2 x 1 6 6
lnx 1
ln 2
50.
f x log 5 x 2 3
Domain: x > 1
Vertical asymptote: x 1
x-intercept:
1.016, 0
Vertical asymptote:
Intercept: 123, 0
Domain: x > 2
x 2
y
x 1.8 1 3 23
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−1
9
8
7
6
5
4
3
2
1
2
3
4
5
6
7
8
9
x
y
1
−3 −2 −1
51. ln21.5 3.068 52. ln0.98 0.020 53. ln6 0.896 54. ln 2 5 0.916
55.
59.
log 5 3 log 5 x 56.
3 x
log 2 8 x 57.
2 x 8
x 3
fx ln x 3
5
60.
Domain: 0,
Vertical asymptote: x 0
x-intercept: 0.05, 0
−1
−1
8
−2
−4
−5
−6
−7
−8
−9
4
y
1
2
3
3
4
5
x 3 2 1 9
6
2
7
x
1
log 9 x log 9 3 2 58.
fx lnx 3
Domain: 3,
Vertical asymptote: x 3
Intercept: 4, 0
0
log 4 4 3 x
3
−3
4 x 4 3
x 3
9