Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 2 - Nonlinear Functions - 2.5 Logarithmic Functions - 2.5 Exercises - Page 98: 30

Answer

$\log_{7}15+\log_{7}p - 1 -\log_{7}y$

Work Step by Step

Apply rule: $\log_{a}\frac{x}{y}=\log_{a}x-log_{a}y$ We have $\log_{7}\frac{15p}{7y}=\log_{7}15.p-\log_{7}7.y$ $=\log_{7}15+\log_{7}p -\log_{7}7 - \log_{7}y$ $\log _{b} b=1$ remove parentheses. $=\log_{7}15+\log_{7}p - 1 -\log_{7}y$
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