Answer
False
Work Step by Step
$$\log_{4}(\sqrt{\frac{x}{y}})$$ $$\log_{4}(\frac{x}{y})^{\frac{1}{2}}$$ $$\frac{1}{2}log_{4}\frac{x}{y}$$ $$\frac{1}{2}(\log_{4}x - \log_{4}y)$$ $$\frac{log_{4}x - \log_{4}y}{2}$$
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