2011 AMC 8 Problem 15

#1
How many digits are in the product \(4^5 \cdot 5^{10}\)?

\( \textbf{(A) } 8 \qquad\textbf{(B) } 9 \qquad\textbf{(C) } 10 \qquad\textbf{(D) } 11 \qquad\textbf{(E) } 12 \)