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Sample Question 16:
The set of all real numbers \(x\) for which
\(\log_{2004}(\log_{2003}(\log_{2002}(\log_{2001}{x})))\)
is defined is \(\{x\mid x > c\}\). What is the value of \(c\)?
\(\textbf {(A) } 0\qquad \textbf {(B) }2001^{2002} \qquad \textbf {(C) }2002^{2003} \qquad \textbf {(D) }2003^{2004} \qquad \textbf {(E) }2001^{2002^{2003}}\)