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216 Chapter 3 Exponential and Logarithmic Functions<br />
25.<br />
fx log 3 x 2 <br />
lnx 2<br />
ln 3<br />
26.<br />
fx log 2 x 1 <br />
lnx 1<br />
ln 2<br />
4<br />
4<br />
−5 7<br />
−1 11<br />
−4<br />
−4<br />
27.<br />
fx log 12 x 2 <br />
lnx 2<br />
ln12<br />
<br />
lnx 2<br />
ln 2<br />
28.<br />
fx log 13 x 1 <br />
lnx 1<br />
ln13<br />
<br />
lnx 1<br />
ln 3<br />
4<br />
4<br />
−1 11<br />
−4 8<br />
−4<br />
−4<br />
29.<br />
fx log 14 x 2 <br />
ln x2 ln x2<br />
<br />
ln14 ln 4<br />
30.<br />
fx log 12 2 x lnx2<br />
ln12 lnx2<br />
ln 2<br />
4<br />
5<br />
−6 6<br />
−2 10<br />
−4<br />
−3<br />
31.<br />
log 4 8 log 4 2 3 3 log 4 2<br />
32.<br />
log 2 4 2 3 4 log 2 4 2 log 2 3 4<br />
3 log 4 4 12 3 1 2 log 4 4<br />
2 log 2 4 4 log 2 3<br />
3 2<br />
2 log 2 2 2 4 log 2 3<br />
4 log 2 2 4 log 2 3<br />
4 4 log 2 3<br />
33. ln5e 6 ln 5 ln e 6 ln 5 6 6 ln 5<br />
35.<br />
log 5 1<br />
250 log 5 1 log 5 250 0 log 5125 2<br />
log 5 5 3 2 log 5 5 3 log 5 2<br />
3 log 5 5 log 5 2 3 log 5 2<br />
37. log 10 5x log 10 5 log 10 x<br />
34.<br />
36.<br />
ln 6 ln 6 ln e2<br />
e2 ln 6 2 ln e ln 6 2<br />
ln 24 ln2 3 3<br />
ln 2 3 ln 3<br />
3 ln 2 ln 3<br />
3 ln 2 ln 3<br />
38. log 10 10z log 10 10 log 10 z 1 log 10 z<br />
© Houghton Mifflin Company. All rights reserved.<br />
39. log 5 10<br />
x log 10 5 log 10 x 40. log y 41. log 8 x 4 10 4 log 8 x<br />
2 log 10 y log 10 2