log (×-1) + log (×-3) = log ( ×-1)
Matematika
Ahmad9411
Pertanyaan
log (×-1) + log (×-3) = log ( ×-1)
1 Jawaban
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1. Jawaban masbro18
[tex] log(x - 1) + log(x - 3) = log(x - 1) \\ log((x - 1)(x - 3)) = log(x - 1) \\ log( {x}^{2} - 3x - x + 3 ) = log(x - 1) \\ log( {x}^{2} - 4x + 3 ) = log(x - 1) \\ {x}^{2} - 4x + 3 = x - 1 \\ {x}^{2} - 4x + 3 - x + 1 = 0 \\ {x}^{2} - 5x + 4 = 0 \\ (x - 1)(x - 4) = 0 \\ x - 1 = 0 \: maka \: x = 1 \\ x - 4 = 0 \: maka \: x = 4[/tex]
Hp : {1,4}
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