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  4. The number of odd positive integers, the logarithm of whose reciprocal to the base 3 have characterstic -5 , is

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Q. The number of odd positive integers, the logarithm of whose reciprocal to the base 3 have characterstic -5 , is

Continuity and Differentiability

Solution:

$-5< \log _3 \frac{1}{ N }< -4 \Rightarrow 3^4< N \leq 3^5 \Rightarrow N =\{83, \ldots \ldots ., 241,243\}$