jila ²log3=p dan²log5=q maka tentukan nilai dari: a.⁴Log15 b.16 log60 c.9Log25
Matematika
fadillahazzahra141
Pertanyaan
jila ²log3=p dan²log5=q maka tentukan nilai dari:
a.⁴Log15
b.16 log60
c.9Log25
a.⁴Log15
b.16 log60
c.9Log25
1 Jawaban
-
1. Jawaban SadonoSukirno
a) ⁴log 15 = ²log 15 / ²log 4
= ²log (5×3) / ²log 2²
= ²log 5 + ²log 3 / 2.²log 2
= (q + p) / 2
b) 16log 60 = ²log 60 / ²log 16
= ²log (3×5×4) / ²log 2⁴
= ²log 3 + ²log 5 + ²log 4 / 4.²log 2
= (p + q + 2) / 4
c) 9log 25 = ²log 25 / ²log 9
= ²log 5² / ²log 3²
= 2.²log 5 / 2.²log 3
= 2q/2p
= q/p