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= x=a 2logx=c dan 100/x³
2logx=logx²,maka
⇒
⇒
⇒
⇒
misalkan log x=p
⇒
2.1/p=2p+3⇒2/p=2p+3
kali p
=2=2p²+3p
=2p²+3p-2=0
faktor kan
(2p-1)(p+2)
2p=1 p=-2
p=1/2
maka nilai p=1/2 dan p=-2
p=log x
log x=1/2
log x=log
x=√10
log x=-2
log x=log 1/100
x=1/100=
persamaan logaritma yang ke-5 T^T
JAWAB
◆ X^(2.log x) = 100/X³
→ X^(log x²). X³ = 100
→ X^(log x² + 3) = 100
→ X^(log x² + 3) = X^(xlog100)
→ log x² + 3 = xlog100
→ log x² + 3 =log100/log x
→ 2.log x + 3 =2/log x
→ 2.log²x + 3.log x - 2 = 0
Misalkan log x = a, maka
→ 2a² +3a - 2 = 0
→ (2a - 1)(a + 2) = 0
→ a = ½ atau a = -2
Karena nilai log tidak bs negatif maka diambil a = ½, Sehingga
a = log x = ½ → x = 10^½ = √10
Jadi x = √10