Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 9 - Section 9.4 - Properties of Logarithms - Exercise Set: 46

Answer

$\log{(xy^7)}$

Work Step by Step

RECALL: (1) $\log{a}-\log{c} = \log{(\frac{a}{c})}$ (2) $\log{a} + \log{c} = \log{ac}$ (3) $a \cdot \log{x} = \log{x^{a}}$ Use rule (3) above to obtain: $=\log{x}+\log{(y^7)}$ Use rule (2) above to obtain: $=\log{(xy^7)}$
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