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  4. The value of expression ( log 100 10)( log 2( log 4 2))( log 4( log 2(256)2)) is

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Q. The value of expression $\left(\log _{100} 10\right)\left(\log _2\left(\log _4 2\right)\right)\left(\log _4\left(\log _2(256)^2\right)\right)$ is

Continuity and Differentiability

Solution:

$ E =\left(\log _{100} 10\right)\left(\log _2\left(\log _4 2\right)\right)\left(\log _4\left(\log _2(256)^2\right)\right) $
$=\left(\frac{1}{2}\right)(-1)(2)=-1$