Algebra and Trigonometry 10th Edition

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

Chapter 5 - 5.3 - Properties of Logarithms - 5.3 Exercises - Page 385: 53


$\log_2\frac{\sqrt {a^2-4}}{7}=\frac{1}{2}\log_2(a+2)+\frac{1}{2}\log_2(a-2)-\log_27$

Work Step by Step

$\log_2\frac{\sqrt {a^2-4}}{7}=\log_2\sqrt {a^2-4}-\log_27=\log_2(a^2-2^2)^{\frac{1}{2}}-\log_27=\frac{1}{2}\log_2[(a+2)(a-2)]-\log_27=\frac{1}{2}\log_2(a+2)+\frac{1}{2}\log_2(a-2)-\log_27$
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