Difference between revisions of "2024 AMC 12B Problems/Problem 6"
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==Problem 6== | ==Problem 6== | ||
| − | The national debt of the United States is on track to reach <math>5\times10^13</math> dollars by <math>2023</math>. 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) | + | The national debt of the United States is on track to reach <math>5\times10^13</math> dollars by <math>2023</math>. How many digits does this number of dollars have when written as a numeral in base 5? (The approximation of <math>\log_{10} 5</math> as <math>0.7</math> is sufficient for this problem) |
<math>\textbf{(A) } 18 \qquad\textbf{(B) } 20 \qquad\textbf{(C) } 21 \qquad\textbf{(D) } 24 \qquad\textbf{(E) } 26</math> | <math>\textbf{(A) } 18 \qquad\textbf{(B) } 20 \qquad\textbf{(C) } 21 \qquad\textbf{(D) } 24 \qquad\textbf{(E) } 26</math> | ||
Revision as of 01:12, 14 November 2024
Problem 6
The national debt of the United States is on track to reach 
dollars by 
. How many digits does this number of dollars have when written as a numeral in base 5? (The approximation of 
as 
is sufficient for this problem)
