Let $x$ be a positive real number, $$\log_{4}(x + 5) + \log_{4}(x + 4) - \log_{4}(x + 3) = \log_{2} 3$$ What is the value of $x$ that satisfies this equality? A) $\sqrt{6}$ B) $\sqrt{7}$ C) $2\sqrt{2}$ D) $2\sqrt{5}$ E) $3\sqrt{2}$
Let $x$ be a positive real number,
$$\log_{4}(x + 5) + \log_{4}(x + 4) - \log_{4}(x + 3) = \log_{2} 3$$
What is the value of $x$ that satisfies this equality?
A) $\sqrt{6}$
B) $\sqrt{7}$
C) $2\sqrt{2}$
D) $2\sqrt{5}$
E) $3\sqrt{2}$