Nilai dari [tex]5log27.4log \frac{1}{125}.3log16[/tex] adalah... A. -18 B. -15 C. -12 D. -9 E. -3

A. -18
5log3^2 x 2^2log5^-3 x 3log2^4
= 3 5log3 x -3/2 2log5 x 4 3log2
= -36/2 x 1
= -18
semoga membantu!;)

5 log 27 . 4 log 1/125 . 3 log 16
= (5 log 3^3) . (-2^2 log 5^3) . (3 log 2^4)
= (3/1).(5 log 3)  .  (-3/2).(2 log 5)  .  (4/1).(3 log 2)
= (3/1 . -3/2 . 4/1) . (5 log 3 . 3 log 2 . 2 log 5)
= (-18) (5 log 5) --------->> soalnya 5 log3 .3log2 =5log2 trs dikali 2log5 = 5log5
= (-18) . (1)
-18