[tex] log_{2}x -log_{4}x= -2\\ \\ log_{2}x -\frac{log_{2}x}{log_{2}4}= -2 \\ \\ log_{2}x*(1-\frac{1}{log_{2}4})=-2\\ \\ log_{2}x*(1-\frac{1}{2})=-2\\ \\\frac{1}{2}*log_{2}x=-2\\ \\ log_{2}x=-4, \\ \\ x=2^{-4} = \frac{1}{2^{4}}=0.0625 [/tex]
