Find the value of $log_2[log_2{log_3(log_3 27^3)}]$ ?

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Answer 1 · 2017-11-11T06:55:12

$log_2[log_2{log_3(log_3 27^3)}]$

$=log_2[log_2{log_3(log_3 (3^3)^3)}]$

$=log_2[log_2{log_3(log_3 (3^9)}]$

$=log_2[log_2{log_3(9log_3 3)}]$

$=log_2[log_2{log_3 3^2*1}]$

$=log_2[log_2{2log_3 3}]$

$=log_2[log_2 2]$

$=log_2 1=0$

Find the value of log_2[log_2{log_3(log_3 27^3)}]log_2[log_2{log_3(log_3 27^3)}]?