1971 AHSME Problem 21

If \log_2(\log_3(\log_4 x))=\log_3(\log_4(\log_2 y))=\log_4(\log_2(\log_3 z))=0, then the sum x+y+z is equal to

\textbf{(A) }50\qquad \textbf{(B) }58\qquad \textbf{(C) }89\qquad \textbf{(D) }111\qquad \textbf{(E) }1296

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.