Use the properties of logarithms to rewrite the following express \[ 2 \log _{4} x-9 \log _{4} y \] \( 2 \log _{4} x-9 \log _{4} y=\square \)

To rewrite the expression \(2 \log_{4} x - 9 \log_{4} y\) using the properties of logarithms, we can use the following properties: 1. \(a \log_{b} x = \log_{b} x^{a}\) 2. \(\log_{b} x - \log_{b} y = \log_{b} \left(\frac{x}{y}\right)\) Applying these properties, we can rewrite the expression as follows: \[2 \log_{4} x - 9 \log_{4} y = \log_{4} x^{2} - \log_{4} y^{9} = \log_{4} \left(\frac{x^{2}}{y^{9}}\right)\] Therefore, the expression \(2 \log_{4} x - 9 \log_{4} y\) can be rewritten as \(\log_{4} \left(\frac{x^{2}}{y^{9}}\right)\).