You can put this solution on YOUR website! log2[log2 [log3(log3 27^3)] is equal to
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log2[log2 [log3(log3 27^3)]
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log2[log2[log3(log3(3^9)]
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= log2[log2[log3(9)]
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= log2[log2[2]]
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= log2[1]
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= 0
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Cheers,
Stan H.