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232 Chapter 3 Exponential and Logarithmic Functions<br />
77. 1 0.065<br />
365 365t 4 ⇒ t 21.330 78.<br />
4 2.471<br />
40 9t 21<br />
3.938225 9t 21<br />
The zero of y 3.938225 9t 21 is t 0.247.<br />
79.<br />
3000<br />
80.<br />
119<br />
e 6x 14 7<br />
gx 6e 1x 25<br />
The zero of y 3000<br />
2 e 2 2x<br />
is x 3.656.<br />
2 e 2x 2 81. Zero at x 0.427<br />
The zero of y 119<br />
e 6x 14 7<br />
is x 0.572.<br />
−6<br />
6<br />
15<br />
−30<br />
82.<br />
fx 3e 3x2 962 83. gt e 0.09t 3<br />
84.<br />
The zero is x 3.847.<br />
1000<br />
8<br />
ht e 0.125t 8<br />
The zero is t 16.636.<br />
10<br />
−20<br />
40<br />
−10<br />
10<br />
−4<br />
24<br />
−1100<br />
−4<br />
Zero at t 12.207<br />
−10<br />
85.<br />
ln x 3 86. ln x 2<br />
87.<br />
ln 4x 2.1<br />
x e 3 0.050<br />
x e 2 1 e 2 0.135<br />
4x e 2.1<br />
x 1 2.042<br />
4 e2.1<br />
88.<br />
ln 2x 1.5 89. 2 2 ln 3x 17<br />
90.<br />
3 2 ln x 10<br />
e 1.5 2x<br />
2 ln 3x 19<br />
2 ln x 7<br />
91.<br />
x 1 2 e1.5 2.241<br />
log 5 3x 2 log 5 6 x 92.<br />
3x 2 6 x<br />
4x 4<br />
x 1<br />
ln 3x 19 2<br />
3x e 192<br />
x 1 3 e192<br />
x 4453.242<br />
log 9 4 x log 9 2x 1 93.<br />
4 x 2x 1<br />
x 5<br />
ln x 7 2 3.5<br />
x e 3.5 33.115<br />
log 10 z 3 2<br />
z 3 10 2<br />
z 10 2 3<br />
103<br />
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