[tex]\log_{\frac{1}{4}}\frac{1}{3} = -\log_{4}3^{-\frac{1}{1}}= \log_{4}3\\ \\ \log_{\frac{1}{4}}\frac{1}{5} = \log_{4}5\\ \\ \log_{4}3 <\log_{4}5 \Rightarrow \log_{\frac{1}{4}}\frac{1}{3} < \log_{\frac{1}{4}}\frac{1}{5}[/tex]
