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  4. Greatest integer less than or equal to the number log 2(15) ⋅ log (1/6)(2) ⋅ log 3((1/6)) is

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Q. Greatest integer less than or equal to the number $\log _2(15) \cdot \log _{\frac{1}{6}}(2) \cdot \log _3\left(\frac{1}{6}\right)$ is

Continuity and Differentiability

Solution:

$E=\frac{\log 15}{\log 2} \cdot \frac{\log 2}{-\log 6} \cdot \frac{-\log 6}{\log 3}=\log _3 15$
$[ E ] = 2$