8log2 + ²log√3 . ³log16 / ³log5 - ³log15 =??

Kelas 10 Matematika
Bab Logaritma

(^8log 2 + ²log √3 . ^3log 16)/(^3log 5 - ^3log 15)
= (^(2^3)log 2 + ²log 16 . ^3log √3)/(^3log (5/15))
= ((1/3 . ²log 2 + ²log 2^4 . ^3log 3^(1/2))/(^3log (1/3))
= (1/3 + 4 . (1/2))/(^3log 3^-1)
= (1/3 + 2)/(-1)
= - 2 1/3