## Intermediate Algebra (6th Edition)

$log(\frac{3}{2})$
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 $log_{10}(\frac{3}{2})$.