# Chapter 12 - Section 12.6 - Properties of Logarithms - Exercise Set: 41

$log_{4}2-log_{4}(9z)$

#### Work Step by Step

We know that $log_{b}\frac{x}{y}=log_{b}x-log_{b}y$ (where $x$, $y$, and $b$ are positive real numbers and $b\ne1$). Therefore, $log_{4}\frac{2}{9z}=log_{4}2-log_{4}(9z)$.

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