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: 49

Answer

$\log_b{(x^2y^3)}$

Work Step by Step

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