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Review Exercises for Chapter 3 263<br />
106.<br />
ln x 3 107.<br />
lnx 1 2 108.<br />
ln2x 1 4<br />
x e 3 0.0498<br />
e 2 x 1<br />
e 4 2x 1<br />
x 1 e 2<br />
x e4 1<br />
2<br />
1 e4<br />
2e 4<br />
109.<br />
3e 5x 132 110. 14e 3x2 560<br />
111.<br />
e 5x 144<br />
5x ln 44<br />
ln 44<br />
x 0.757<br />
5<br />
e 3x2 40<br />
ln e 3x2 ln 40<br />
3x 2 ln 40<br />
x <br />
ln 40 2<br />
3<br />
0.563<br />
2 x 13 35<br />
2 x 22<br />
x ln 2 ln 22<br />
x <br />
ln 22<br />
ln 2 4.459<br />
112.<br />
6 x 28 8 113.<br />
45 x 68<br />
114.<br />
212 x 190<br />
6 x 20<br />
5 x 17<br />
12 x 95<br />
x ln 6 ln 20<br />
x ln 5 ln 17<br />
x ln12 ln 95<br />
x <br />
ln 20<br />
ln 6 1.672<br />
x <br />
ln 17<br />
ln 5 1.760<br />
x <br />
ln 95<br />
ln12 1.833<br />
© Houghton Mifflin Company. All rights reserved.<br />
115.<br />
118.<br />
121.<br />
2e x3 1 4 116.<br />
2e x3 5<br />
e x3 5 2<br />
x 3 ln <br />
5<br />
2<br />
x 3 ln <br />
5<br />
2 3.916<br />
e 2x 6e x 8 0<br />
e x 4e x 2 0<br />
e x 4.386 or e x 2<br />
x<br />
x ln 4.6 or x<br />
x ln 2<br />
x<br />
x 1.386 or x<br />
x 0.693<br />
119.<br />
e x2 1 1 2<br />
e x2 1 2<br />
ln 3x 8.2<br />
ln 3x e 8.2<br />
x<br />
2 ln 1 2 ln 2<br />
x 2 ln 2<br />
ln 4 1.386<br />
ln 3x e8.2<br />
3 1213.650<br />
117.<br />
120.<br />
ln x ln 3 2 122. ln x ln 5 4<br />
123.<br />
ln x 3 2<br />
x<br />
3 e2<br />
x 3e 2 22.167<br />
ln <br />
x<br />
5 4<br />
e 4 x 5<br />
x 5e 4 272.991<br />
e 2x 7e x 10 0<br />
e x 5e x 2 0<br />
e x 5 ⇒ x ln 5 1.609<br />
e x 2 ⇒ x ln 2 0.693<br />
ln 5x 7.2<br />
5x e 7.2<br />
x 1 5 e7.2 267.886<br />
lnx 1 2<br />
1<br />
lnx 1 2<br />
2<br />
lnx 1 4<br />
x 1 e 4<br />
x e 4 1<br />
53.598
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