Hasil dari 8 log 5 × 36 log 64 × 25 log 6

Bab Logaritma
Matematika SMA Kelas X

⁸log 5 x ³⁶log 64 x ²⁵log 6 = ⁸log 64 x ²⁵log 5 x ³⁶log 6
                                        = (⁸log 8²) x (1/(⁵log 25)) x (1/(⁶log 36))
                                        = 2 x 1/2 x 1/2
                                        = 1/2

8log5 x 36log64 x 25log6
= 8log5 x (6^2)log(8^2) x (5^2)log(6^1)
= 8log5 x (2/2) . 6log8 x (1/2) . 5log6
= (2/2) . (1/2) . 8log5 . 5log6 . 6log8
= 1 . 1/2 . 8log8
= 1/2