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: 89


$\log_a(xy)=\log_ax+\log_ay$ True. Use the inverse property.

Work Step by Step

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