MathDB
1993 AMC 12 #11 - Logarithms

Source:

January 2, 2012
logarithmsAMC

Problem Statement

If log⁡2(log⁡2(log⁡2(x)))=2\log_2(\log_2(\log_2(x)))=2, then how many digits are in the base-ten representation for xx?
<spanclass=′latex−bold′>(A)</span> 5<spanclass=′latex−bold′>(B)</span> 7<spanclass=′latex−bold′>(C)</span> 9<spanclass=′latex−bold′>(D)</span> 11<spanclass=′latex−bold′>(E)</span> 13 <span class='latex-bold'>(A)</span>\ 5 \qquad<span class='latex-bold'>(B)</span>\ 7 \qquad<span class='latex-bold'>(C)</span>\ 9 \qquad<span class='latex-bold'>(D)</span>\ 11 \qquad<span class='latex-bold'>(E)</span>\ 13
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