Bantu yah 5 log²x - logx³ = 2 log²x + 6
Matematika
melindadjapur27
Pertanyaan
Bantu yah
5 log²x - logx³ = 2 log²x + 6
5 log²x - logx³ = 2 log²x + 6
2 Jawaban
-
1. Jawaban windiarta
Log x = y
5y^2 - 3y = 2y^2 + 6
3y^2 - 3y - 6 =0
Y=6 Y=-1/3
Log x = 6
X = 10^6
X = 1000.000
Log x =-1/3
X=1/akarpangkattiga 10 -
2. Jawaban nasril8
5log^2 x -log x^3 - 2.log^2x -6 = 0
3.(log x)^2 - 3.log x - 6 = 0
misal log x = a, maka
3a^2 - 3 a - 6 = 0
a^2 - a - 2 = 0
(a + 1) (a -2) = 0
a1 = -1, a2 = 2
untuk a1 = -1, maka
log x = -1
x = 10^-1 = 1/10.
untuk a = 2, maka
x = 10^2 = 100
Jadi HP = { 1/10 , 100 }