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2024 AMC 12B Problems/Problem 6

Revision as of 01:12, 14 November 2024 by Tsun26 (talk | contribs) (→‎Problem 6)

Problem 6

The national debt of the United States is on track to reach $5\times10^13$ dollars by $2023$. How many digits does this number of dollars have when written as a numeral in base 5? (The approximation of $\log_{10} 5$ as $0.7$ is sufficient for this problem)

$\textbf{(A) } 18 \qquad\textbf{(B) } 20 \qquad\textbf{(C) } 21 \qquad\textbf{(D) } 24 \qquad\textbf{(E) } 26$

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