Question

Nilai 2x yang memenuhi persamaan ²log(x²+x) = ² log 6 adalah .....
Mohon bantuan nya

Answer 1

Verified answer

Kelas 10 Matematika
Bab Logaritma

²log (x² + x) = ²log 6
x² + x - 6 = 0
(x + 3) (x - 2) = 0
x + 3 = 0
x = -3

x - 2 = 0
x = 2

Syarat
x² + x > 0
x (x + 1) > 0
x > 0

x + 1 < 0
x < -1

Maka, x = -3 atau x = 2

2x = 2 . -3
2x = -6

atau

2x = 2 . 2
2x = 4

Answer 2

Verified answer

²log(x² + x) = ²log6

x² + x = 6
x² + x - 6 = 0
(x + 3)(x - 2) = 0

x + 3 = 0
x = -3

x - 2 = 0
x = 2

Nilai 2x adalah
2x = 2 . (-3) = -6
atau
2x = 2. 2 = 4