^(5)log √(27) x ^(9)log 125 + ^(6)log 12=..

Jawaban: (9/4) + ⁶log 12 Konsep! * √a = a^(½) * ^(a^(n))log b^(m) = (m/n) ªlog b * (a^(n))^(m) = a^(n.m) * ^(a) log b × ^(b) log a = 1 Pembahasan: ⁵log √27 × ⁹log 125 + ⁶log 12 = ⁵log 27^(½) × ^(3²)log 5³ + ⁶log 12 = ⁵log (3³)^(½) × (3/2) ³log 5 + ⁶log 12 = ⁵log 3^(3/2) × (3/2) ³log 5 + ⁶log 12 = (3/2) ⁵log 3 × (3/2) ³log 5 + ⁶log 12 = (3/2) × (3/2) × ⁵log 3 × ³log 5 + ⁶log 12 = (9/4) × 1 + ⁶log 12 = (9/4) + ⁶log 12 Jadi, hasilnya adalah (9/4) + ⁶log 12.