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  4. The number 22 log 2(33 log 3 4) simplifies as

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Q. The number $2^{2 \log _2\left(3^{3 \log _3 4}\right)}$ simplifies as

Continuity and Differentiability

Solution:

$2^{\log _2\left(3^{\log _3 4^3}\right)^2}=2^{\log _2(64)^2}=(64)^2=4096$