Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Test - Page 515: 8



Work Step by Step

Recall the log rules: (a) $\log_b{p \cdot q} =\log p + \log q $ (b) $\log_b{\dfrac{p}{q}}=\log_b{p} - \log_b{q}$ (Quotient Rule). (c) $\log{a^n}=n \log x $ (d) $\log_a{a^x}=x $ Use the rule (a) with $ p=x^6$ and $ q=y^2$ to obtain $6 \log x+2 \log y=\log x^6 +\log y^2$ Simplify the second term by applying rule (c) to obtain: $ \log x^6 +\log y^2= \log(x^6y^2)$
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