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Review Exercises for Chapter 3 261<br />
71.<br />
lnx 2 lnx 2<br />
fx log 12 x 2 <br />
ln12 ln 2<br />
4<br />
72.<br />
fx log 13 x 1 1<br />
<br />
lnx 1<br />
ln13<br />
lnx 1<br />
1 1<br />
ln 3<br />
−4 8<br />
5<br />
−4<br />
−1 11<br />
−3<br />
73.<br />
log b 9 log b 3 2 74.<br />
log b 4 9 log b 2 2 log b 3 2 75.<br />
log b<br />
5 log b 5 12<br />
2 log b 3<br />
2 log b 2 2 log b 3<br />
1 2 log b 5<br />
20.5646<br />
20.3562 20.5646<br />
1 20.8271<br />
1.1292<br />
0.4168<br />
0.41355<br />
76.<br />
log b 50 log b 2 5 2 77.<br />
ln5e 2 ln 5 ln e 2 78.<br />
ln e 5 ln e 52<br />
log b 2 2 log b 5<br />
ln 5 2 ln e<br />
5 2 ln e 5 2<br />
0.3562 20.8271<br />
ln 5 2<br />
2.0104<br />
79.<br />
log 10 200 log 10 2 100 80.<br />
log 10 2 log 10 10 2<br />
log 10 2 2<br />
log 10 0.002 log 10 2 10 3 <br />
log 10 2 log 10 10 3<br />
log 10 2 3<br />
81. log 5 5x 2 log 5 5 log 5 x 2 1 2 log 5 x<br />
82. log 4 3xy 2 log 4 3 log 4 x 2 log 4 y<br />
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83.<br />
85.<br />
log 10 5y<br />
x 2 log 10 5y log 10 x 2 84.<br />
log 10 5 log 10<br />
y log 10 x 2<br />
log 10 5 1 2 log 10 y 2 log 10 x<br />
ln x<br />
4 ln x12 ln 4 1 ln x ln 4<br />
2<br />
1 ln x 2 ln 2<br />
2<br />
86. ln <br />
x 3<br />
xy lnx 3 lnxy ln xy 5<br />
z ln x ln y 5 ln z 12<br />
lnx 3 ln x ln y<br />
ln x 5 ln y 1 2 ln z<br />
87. log 2 5 log 2 x log 2 5x 88.<br />
89.<br />
1<br />
ln2x 1 2 lnx 1 ln2x 1 lnx 12<br />
2<br />
ln 2x 1<br />
x 1 2<br />
log 6 y 2 log 6 z log 6 y log 6 z 2<br />
log 6 y z 2
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