Download File

206 Chapter 3 Exponential and Logarithmic Functions
24.
1
e 4 e4 0.0183 . . . ⇒ ln 0.0183 . . . 4
25. log 2 16 log 2 2 4 4
26.
log 16 1 4 1 2
because 16 12 1
16 12 1 4 .
27.
g
1
1000 log 101000 1
28.
log 10 10 3
3
g10,000 log 10 10,000
log 10 10 4
4
29. log 10 345 2.538 30. log 10 4 5 0.097 31. 6 log 10 14.8 7.022
32. 1.9 log 10 4.3 1.204 33. log 7 x log 7 9
34. x log 5 5 1
x 9
35.
log 6 6 2 x 36. log 2 2 1 x 37. log 8 x log 8 10 1 38.
2 log 6 6 x
1 x
x 10 1 1 10
2 x
x log 4 4 3
3
39. log 4 4 3x 3x log 4 4 3x 40. 6 log 6 36 36 41.
3 log 2 1 2 3 log 2 2 1
31 3
42.
1
4 log 4 16 1 4 log 4 42 1 42 1 2
43. fx 3 x and gx log 3 x are inverses of
each other.
44. fx 5 x and gx log 5 x are inverses of
each other.
y
5
4
3
f
2 g
1
−5 −4 −3 −2 −1 1 2 3 4 5
−2
−3
−4
−5
x
7
6
5
4
3
2
1
y
f
−3 −2 −1 1 2 3 4 5 6 7
−2
−3
45. fx e2x and gx 1 2 ln x are inverses of
46. fx 4 x and gx log 4 x are inverses of
each other.
each other.
7
6
5
4
3
2
1
y
f
−3 −2 −1 1 2 3 4 5 6 7
−2
−3
g
x
6
5
4
3
2
1
y
f
−3 −2 −1 1 2 3 4 5 6 7
−2
−3
−4
g
g
x
x
© Houghton Mifflin Company. All rights reserved.