Sederhanakan: c. 3 lo g 25 ⋅ 36 lo g 27 ⋅ 5 lo g 6

Pembahasan

Ingat kembali sifat-sifat logaritma: a lo g b m a n lo g b m a lo g a a lo g b ⋅ b lo g c ​ = = = = ​ m ⋅ a lo g b n m ​ ⋅ a lo g b 1 a lo g c ​ Sehingga 3 lo g 25 ⋅ 36 lo g 27 ⋅ 5 lo g 6 ​ = = = = = = ​ 3 lo g 5 2 ⋅ 6 2 lo g 3 3 ⋅ 5 lo g 6 2 ⋅ 3 lo g 5 ⋅ 2 3 ​ ⋅ 6 lo g 3 ⋅ 5 lo g 6 2 ⋅ 2 3 ​ ⋅ 3 lo g 5 ⋅ 5 lo g 6 ⋅ 6 lo g 3 2 6 ​ ⋅ 3 lo g 3 3 ⋅ 1 3 ​ Dengan demikian hasil dari 3 lo g 25 ⋅ 36 lo g 27 ⋅ 5 lo g 6 adalah 3 .