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Section 3.3 Properties of Logarithms 223<br />
108.<br />
f x ln x 2<br />
4<br />
g<br />
f = h<br />
109.<br />
f x log 2 x ln x<br />
ln 2<br />
4<br />
gx ln x<br />
ln 2<br />
hx ln x ln 2<br />
−2<br />
−4<br />
10<br />
−2<br />
−4<br />
10<br />
fx hx by Property 2.<br />
110.<br />
f x log 4 x ln x<br />
ln 4<br />
111.<br />
f x log 3<br />
x 1 2<br />
ln x<br />
ln 3<br />
4<br />
3<br />
−2<br />
10<br />
−2<br />
7<br />
−4<br />
−3<br />
112.<br />
f x log 2 3 x 1 3<br />
3<br />
ln x<br />
ln 2<br />
113.<br />
f x log 5 x 3 lnx3<br />
ln 5<br />
−2<br />
3<br />
7<br />
0<br />
9<br />
−3<br />
−3<br />
114.<br />
f x log 3 x 5<br />
<br />
ln x ln 5<br />
ln 3<br />
−1<br />
2<br />
11<br />
−6<br />
© Houghton Mifflin Company. All rights reserved.<br />
115.<br />
ln 1 0, ln 2 0.6931, ln 3 1.0986, ln 5 1.6094<br />
ln 2 0.6931<br />
ln 3 1.0986<br />
ln 4 ln 2 ln 2 0.6931 0.6931 1.3862<br />
ln 5 1.6094<br />
ln 6 ln 2 ln 3 0.6931 1.0986 1.7917<br />
ln 8 ln 2 3 3 ln 2 30.6931 2.0793<br />
ln 9 ln 3 2 2 ln 3 21.0986 2.1972<br />
ln 10 ln 5 ln 2 1.6094 0.6931 2.3025<br />
ln 12 ln 2 2 ln 3 2 ln 2 ln 3 20.6931 1.0986 2.4848<br />
ln 15 ln 5 ln 3 1.6094 1.0986 2.7080<br />
ln 16 ln 2 4 4 ln 2 40.6931 2.7724<br />
ln 18 ln 3 2 ln 2 2 ln 3 ln 2 21.0986 0.6931 2.8903<br />
ln 20 ln 5 ln 2 2 ln 5 2 ln 2 1.6094 20.6931 2.9956
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