Diketahui 3log 2=a, 2log 5=b. Tentukan nilai dari 8log75

3log2 = a
2log3 = 1/a

2log5=b

8log 75
= 8 log 25×3
= 8 log 25 + 8 log 3
= (2^3 log 5^2) + (2^3 log 3)
= (2/3 2log5) + (1/3 2log3)
= (2/3)b + (1/3)(1/a)
= 2b/3 + 1/3a

= 2ab/3a + 1/3a
= (2ab+1)/3a