3/log3 3-2/log8 4- 1/log27 81

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To simplify this expression, we need to first rewrite the logarithms using the change of base formula:

log3 3 = log(3)/log(3) = 1/ln(3)

log8 4 = log(4)/log(8) = 1/(ln(4)/ln(8)) = ln(8)/ln(4) * 1/ln(8) = 3/ln(4)

log27 81 = log(81)/log(27) = 1/(ln(81)/ln(27)) = ln(27)/ln(81) * 1/ln(27) = 3/ln(81)

Now substitute these values back into the expression:

1/ln(3) - 3/ln(4) - 3/ln(81)

Therefore, 3/log3 3-2/log8 4- 1/log27 81 simplifies to 1/ln(3) - 3/ln(4) - 3/ln(81)