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Stitz-Zeager_College_Algebra_e-book

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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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