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)
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)