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Section 3.3 Properties of Logarithms 221
93. ln
1
e ln1 ln e12 0 1 2 ln e 1 2
94. ln 5 e 3 ln e 35 3 5 ln e 3 5
95. (a)
(b)
(c)
10 log 10
I
12 10 10log 10 I log 10 1012
10log 10 I 12 log 10 10
10 log 10 I 12 120 10 log 10 I
I
10 4 10 6 10 8 10 10 10 12 10 14
80 60 40 20 0 20
10 4 120 10 log 10 10 4 120 40 80
10 6 120 10 log 10 10 6 120 60 60
10 8 120 10 log 10 10 8 120 80 40
10 10 120 10 log 10 10 10 120 100 20
10 12 120 10 log 10 10 12 120 120 0
10 14 120 10 log 10 10 14 120 140 20
96.
ft 90 15 log 10 t 1, 0 ≤ t ≤ 12
(a)
90
(b) When t 0, f0 90.
(c) f6 77
(d) f12 73
0
70
12
(e) ft 75 when t 9 months.
97. (a)
80
(b)
T 21 54.40.964 t
T 21 54.40.964 t
80
0
20
30
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––CONTINUED––
0
20
The data t, T 21 fits the model
T 21 54.40.964 t .
The model
T 21 54.40.964 t
fits the original data.
30