Question

The number $\log_{20} 3$ lies in

Easy

Solution

$20^{1 / 3} < 3 < 20^{1 / 2} \Rightarrow \frac{1}{3} < \log_{20} 3 < \frac{1}{2} ∴ \log_{20} 3 \in (\frac{1}{3}, \frac{1}{2}) .$

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