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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

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