College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 6 - Section 6.5 - Properties of Logarithms - 6.5 Assess Your Understanding - Page 460: 109

Answer

See below.

Work Step by Step

We know that $\log_a x+\log_a y=log_a (x\cdot y)$ and we know that $log_a x^n=n\cdot log_a x$, hence $\log_a{\frac{M}{N}}=\log_a{(MN^{-1})}=\log_a(M)+\log_a(N^{-1})=\log_a(M)-\log_a(N)$
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