Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 5 - 5.4 - Exponential and Logarithmic Equations - 5.4 - Page 397: 92

Answer

$\log_a\frac{x}{y}=\log_ax-\log_ay$ True.

Work Step by Step

$a^{\log_a\frac{x}{y}}=a^{(\log_ax-\log_ay)}$ $\frac{x}{y}=\frac{a^{\log_ax}}{a^{\log_ay}}$ $\frac{x}{y}=\frac{x}{y}$
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