Question 626790
<img src="http://latex.codecogs.com/gif.latex?\Large \log_{4}\left(\frac{\sqrt{x}}{16}\right)" title="x" />


<img src="http://latex.codecogs.com/gif.latex?\Large \log_{4}\left(\sqrt{x}\right) - \log_{4}\left(16\right)" title="x" />


<img src="http://latex.codecogs.com/gif.latex?\Large \log_{4}\left(\sqrt{x}\right) - \log_{4}\left(4^2\right)" title="x" />


<img src="http://latex.codecogs.com/gif.latex?\Large \log_{4}\left(\sqrt{x}\right) - 2\log_{4}\left(4\right)" title="x" />


<img src="http://latex.codecogs.com/gif.latex?\Large \log_{4}\left(\sqrt{x}\right) - 2\left(1\right)" title="x" />


<img src="http://latex.codecogs.com/gif.latex?\Large \log_{4}\left(\sqrt{x}\right) - 2" title="x" />


<img src="http://latex.codecogs.com/gif.latex?\Large \log_{4}\left(x^{\frac{1}{2}}\right) - 2" title="x" />


<img src="http://latex.codecogs.com/gif.latex?\Large \frac{1}{2}\log_{4}\left(x\right) - 2" title="x" />


So the answer is <img src="http://latex.codecogs.com/gif.latex?\Large \frac{1}{2}\log_{4}\left(x\right) - 2" title="x" />


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