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1971 AMC 12 Question 21

AMC12 · 1971 AMC 12

Question 21

If $$
\begin{gathered} \log_2(\log_3(\log_4x))=0,\\ \log_3(\log_4(\log_2y))=0,\\ \log_4(\log_2(\log_3z))=0, \end{gathered}
$$ then $x+y+z$ is equal to:
  1. $50$
  2. $58$
  3. $89$
  4. $111$
  5. $1296$