Question

Tentukan Himpunan Penyelesaian dr persamaan berikut :
(x-2)log (x^2-3x) = (x-2)log x

ket: ^= pangkat

help me pls yaa~

Answer 1

Kesamaan terjadi jika:
1. Numerusnya sama,
x^2-3x = x
x^2-4x = 0
x(x-4) = 0
x = 0 (Tidak memenuhi syarat logaritma)
x = 4

Answer 2

(x-2)log(x^2-3x) = (x-2)logx
x^2-3x = x^1
2-3x = 1
-3x = 1-2
-3x = -1
x = -1/-3
x = 1/3
mungkin..