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: 90


$\log_a(x+y)=(\log_ax)(\log_ay)$ False.

Work Step by Step

$\log_a(x+y)\ne(\log_ax)(\log_ay)$ $a^{\log_a(x+y)}\ne a^{(\log_ax)(\log_ay)}$ $x+y\ne (a^{\log_ax})^{\log_ay}$ $x+y\ne x^{\log_ay}$
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