# Bound me

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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