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Algebra Level 2

The value of \( \log_{20} 3 \) lies between the interval \( \left ( \frac 1 n , \frac 1 {n-1} \right ) \) for some positve integer \(n\). What is the value of \(n\)?

Details and Assumptions:

  • This problem can be solved without the use of tables or calculators.
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