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Beyond Horizon Set 2 Paper 2 · Q19

Paper 2Powers & logarithms

The set of all real numbers xx for which

log⁡2004(log⁡2003(log⁡2002(log⁡2001x)))\log_{2004}(\log_{2003}(\log_{2002}(\log_{2001}x)))

is defined is {x∣x>c}\{x\mid x>c\}. What is the value of cc?

A00
B200120022001^{2002}
C200220032002^{2003}
D200320042003^{2004}
E2001200220032001^{2002^{2003}}

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