nilai dari (0.25log 16 + 0.125log 16)/ (3 4log 2- 0.5log 4) adalah .....

Bab Logaritma
Matematika SMA Kelas X

(^0,25log 16 + ^0,125log 16) / (3 . ^4log 2 - ^0,5log 4)
= (^(1/4)log (2^4) + ^(1/8)log (2^4)) / (3 . ^(2^2)log 2 - ^(1/2)log (2^2))
= (4 . ^(2^-2)log 2 + 4 . ^(2^-3)log 2)) / (3 . (1/2) . ^2log 2 - 2 . ^(2^-1)log 2)
= (4/-2 . 1 + 4/-3 . 1) / (3/2 . 1 - 2/-1 . 1)
= (-2 - 4/3) / (3/2 + 2)
= (-2 4/3) / (2 3/2)
= (-10/3) / (7/2)
= (-10/3) x (2/7)
= -20/21