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  4. The value of log 3[ log 2 log 4( log 5 6254) ] is

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Q. The value of $\log _3\left[\log _2\left\{\log _4\left(\log _5 625^4\right)\right\}\right]$ is

Logarithm

Solution:

(i) $\log a^m=m \log a$.
(ii) Express 625 in terms of base 5 and simplify from the extreme right logarithm.