AMC 12 2023b Problem 7

For how many integers $n$ does the expression$$\sqrt{\frac{\log (n^2) - (\log n)^2}{\log n - 3}}$$represent a real number, where log denotes the base $10$ logarithm?

$\textbf{(A) }900 \textbf{(B) }3 \textbf{(C) }902 \textbf{(D) } 2 \textbf{(E) }901$