³log 6 - ³log 8 - ³ log 1/3 + ³ log 36 =

³log 6 : 8 : 1/3 × 36 = ³log 81 = 4


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³log 6 - ³log 8 - ³log 1/3 + ³log 36
= ³log(3 . 2) - ³log 2³ - ³log 3⁻¹ + ³log 6²
= ³log3 + ³log2 - 3 ³log2 - (-1) + 2 ³log(3 . 2)
= 1 - 2 ³log2 + 1 + 2(³log3 + ³log2)
= 2 - 2 ³log2 + 2 + 2 ³log2
= 2 + 2
= 4