Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 4 - Section 4.4 - Laws of Logarithms - 4.4 exercises - Page 359: 34


$\ln r$ - $\ln 3$ +$\ln s$

Work Step by Step

$Expand$ $the$ $expression$: $\ln \frac{r}{3s}$ Apply the Second Law of Logarithms $\ln \frac{r}{3s}$ = $\ln r$ - $\ln 3s$ Apply the First Law of Logarithms for $\ln 3s$ $\ln (3\times s)$ = $\ln 3$ +$\ln s$ $\ln r$ - $\ln 3s$ = $\ln r$ - $\ln 3$ +$\ln s$
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