AMC 12 2019b Problem 9

For how many integral values of $x$ can a triangle of positive area be formed having side lengths $\log_{2} x, \log_{4} x, 3$?

$\textbf{(A) } 57 \textbf{(B) } 59 \textbf{(C) } 61 \textbf{(D) } 62 \textbf{(E) } 63$