Tentukan hasil dari: Xlog 3 + 3log x =2

Bab Logaritma
Matematika SMA Kelas X

ˣlog 3 + ³log x = 2
1/(ˣlog 3) + ³log x = 2

³log x = p

1/p + p = 2
1 + p² = 2p
p² - 2p + 1 = 0
(p - 1)² = 0
p - 1 = 0
p = 1

³log x = p
³log x = 1
x = 3¹
x = 3