Question

(3logx)^2 - 3logx^3 + 2 =0

Answer 1

Verified answer

³log²x - ³logx³ + 2 = 0
³log²x - 3 . ³logx + 2 = 0
misalkan
y = ³logx, maka bentuk pers. menjadi
y² - 3y + 2 = 0
(y - 1)(y - 2) = 0
y = 1    y = 2

(i)
y = 1
³logx = 1
³logx = ³log3
x = 3

(ii)
y = 2
³logx = 2
³logx = ³log3²
x = 3²
x = 9

jadi HP = {3,9}

Answer 2

Verified answer

Mata Pelajaran : Matematika Peminatan
Kelas : 10
Bab : 02 - Fungsi Logaritma

(³logx)² - ³logx³ + 2 = 0
³logx² - 3.³logx + 2 = 0

Gunakan permisalan ³logx = s
Sehingga
s² - 3s + 2 = 0
s = 1 , s = 2

→ ³logx = 1
x = 3
→ ³logx = 2
x = 9

Maka, HP : { 3 , 9 }