Hasil 3log 25.5log 81+4log 2/3log 36-3log 4
Matematika
bikos018
Pertanyaan
Hasil 3log 25.5log 81+4log 2/3log 36-3log 4
2 Jawaban
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1. Jawaban Anonyme
Bab Logaritma
Matematika SMA Kelas X
^ = pangkat
( ³log 25 . ⁵log 81 + ⁴log 2) / (³log 36 - ³log 4 )
= (³log 81 . ⁵log 25 + ⁴log 4^(1/2)) / (³log (36 : 4))
= (³log 3⁴ . ⁵log 5² + (1/2) . ⁴log 4) / (³log 9)
= (4 . ³log 3 . 2 . ⁵log 5 + 1/2) / (³log 3²)
= (4 . 2 + 1/2) / (2 . ³log 3)
= (8 1/2) / 2
= (17/2) : 2
= 17/4
= 4 1/4 -
2. Jawaban andri77
3log 25.5log 81+4log 2/3log 36-3log 4 (alogb-alogc= alogb/c)
=3log5^2 . 5log3^4 + 4log2/(3log36/4) (alogb^n=n.alogb)
=2.3log5.5log3 . 4 + 1/2 / (3log9) (alogb . blogc = alogc)
=8 . 3log3 + 1/2 / 2 (aloga = 1)
= (17/2) / 2
=17/4