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 386: 78


$\log_7\sqrt {70}={\frac{1}{2}}+\log_7\sqrt {10}\ne\log_735$

Work Step by Step

$\log_7\sqrt {70}=\log_77^{\frac{1}{2}}10^{\frac{1}{2}}=\log_77^{\frac{1}{2}}+\log_710^{\frac{1}{2}}={\frac{1}{2}}+\log_7\sqrt {10}$ $\sqrt {70}\ne35$. So, due to One-to-One Property: $\log_7\sqrt {70}\ne\log_735$
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