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The value of log2[log3(log2(log327^3)?
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The value of log2[log3(log2(log327^3)?
Calculating the Value of log2[log3(log2(log327^3)]


Step 1: Solving Innermost Bracket


  • log327^3 = log3(3^3*27^3) = log3(3^3)+log3(27^3) = 3+9

  • log2(log327^3) = log2(12)



Step 2: Solving Second Bracket


  • log3(12) = log3(2*2*3) = log3(2)+log3(2)+log3(3)

  • log2(log3(12)) = log2(3)



Step 3: Solving Final Bracket


  • log2(3) = log2(2^1.58)

  • log2[log3(log2(log327^3))] = log2(log2^1.58) = 1.58



Final Answer

The value of log2[log3(log2(log327^3))] is 1.58.
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The value of log2[log3(log2(log327^3)?
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