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If A =log2 log2 log4 256+2 logsqrt2 2, ...

If A` =log_2 log_2 log_4 256+2 log_sqrt2 2`, hen find the value of A.

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`A=log_2log_2log_4^256+2log_sqrt2^2`
`A=log_2log_2log_4^(4^4)+2log_sqrt2^(sqrt2^2)`
`A=log_2log_2^4+4`
`A=log_2log_2^(2^2)+4`
`A=log_2^2+4`
`A=1+4=5`.
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