Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 1 - Functions - 1.3 Inverse, Exponential, and Logarithmic Functions - 1.3 Exercises - Page 36: 50

Answer

$ - 0.37$

Work Step by Step

$\log_{b}(\sqrt x \sqrt y) /z$ $=\log_{b}\sqrt x \sqrt y - \log_{b}z $ $=0.5\log_{b}xy - \log_{b}z$ $=0.5(\log_{b}x+log_{b}y) - \log_{b}z$ $ = 0.5(0.36+0.56) - 0.83$ $ = .18+0.28 - 0.83$ $ =0.46 - 0.83$ $ = - 0.37$
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