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: 7


(a) $\frac{\log\frac{3}{10}}{\log x}$ (b) $\frac{\ln\frac{3}{10}}{\ln x}$

Work Step by Step

Just apply the Change-of-Base Formula: $\log_ax=\frac{\log x}{\log a}~or~\log_ax=\frac{\ln x}{\ln a}$. (a) $\log_{x}\frac{3}{10}=\frac{\log\frac{3}{10}}{\log x}$ (b) $\log_{x}\frac{3}{10}=\frac{\ln\frac{3}{10}}{\ln x}$
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