Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 9 - Review: 68

Answer

$log(\frac{3}{2})$

Work Step by Step

The quotient property of logarithms tells us that $log_{b}\frac{x}{y}=log_{b}x-log_{b}y$ (where x, y, and, b are positive real numbers and $b\ne1$). $log(18)-log(12)=log(\frac{18}{12})=log(\frac{3}{2})$ Recall that logarithms written in the form $log(x)$ are common logarithms. It is understood that the base of these logarithms is 10. Therefore, we could rewrite $log(\frac{3}{2})$ as $log_{10}(\frac{3}{2})$.
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