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Unformatted text preview: ithm’ itself. Why is
the abbreviation of natural log ‘ln’ and not ‘nl’ ?
10. There is a scene in the movie ‘Apollo 13’ in which several people at Mission Control use slide
rules to verify a computation. Was that scene accurate? Look for other pop culture references
to logarithms and slide rules. 6.2 Properties of Logarithms 6.2.2 357 Answers 1. (a)
(b)
(c)
(d)
(e)
(f)
(g) 3 ln(x) + 2 ln(y )
7 − log2 (x2 + 4)
3 log5 (z ) − 6
log(1.23) + 37
1
2 ln(z ) − ln(x) − ln(y )
log5 (x − 5) + log5 (x + 5)
3 log√2 (x) + 4 2. (a) ln(x4 y 2 )
1000
(b) log
x
xy
(c) log2
z
x
(d) log3
y2
√
x
(e) log3
y2z
(f) ln x2
y3z4 1
(h) −2+log 1 (x)+log 1 (y − 2)+log 3 (y 2 +2y +4)
3
3 (i) 3 + 3 log(x) + 5 log(y )
(j) 2 log3 (x) − 4 − 4 log3 (y )
(k) 1
4 ln(x) + 1 ln(y ) −
4 1
4 (l) 12 − 12 log6 (x) − 4 log6 (y )
(m) 1
3 1
ln(x) − ln(10) − 1 ln(y ) − 2 ln(z )
2 √
xy
(g) log √
3
z
z
(h) ln 3
xy
x
x−1
√
log2 x x − 1
x
log5
125
x(x − 3)
log7
49
√
ln (x e) (i) log2
(j)
(k)
(l)
(m...
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- Fall '13
- Wong
- Algebra, Trigonometry, Cartesian Coordinate System, The Land, The Waves, René Descartes, Euclidean geometry
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