½log125×1/36log8×625log6

2^-1 log 5^3 . 6^-2 log 2^3 . 5^4 log 6
-3 2log5 . -3/2 6log2 . 1/4 5log 6
-3.-3/2.1/4 2log5.5log6.6log2
-3.-3/2.1/4
9/8

½log125×1/36log8×625log6
Karena perkalian komutatif diperoleh
½log125×625log6×1/36log8
2^-1 log5^3× 5^4log6× 6^-2log2^3
Gunakan sifat logaritma
a^b logc^d = d/b a log c
(3x1x3) / (-1×4×-2) 2log5× 5log6× 6log2
9/8 2log5× 5log6× 6log2
Gunakan sifat logaritma
alogb× blogc× clogd = alogd
9/8 2log2
Karena 2log2 =1

9/8 ×1 =9/8