nilai x yg memenuhi prsamaan logaritma xlog(x+12)-3.xlog4+1=0
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Pertanyaan
nilai x yg memenuhi prsamaan logaritma xlog(x+12)-3.xlog4+1=0
1 Jawaban
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1. Jawaban Anonyme
jawab
ˣlog(x+12) - 3 .ˣlog 4 + 1 = 0
ˣlog (x+12) - ˣlog 4³ = - 1
ˣlog (x+12)/(4³) = ˣlog x⁻¹
x+ 12 = 4³(x)⁻¹
x+ 12 = 64/ x
x² + 12x = 64
x² + 12 x - 64 = 0
(x +16)(x - 4) = 0
x = -16 atau x = 4
syarat pembatas
x > 0 n x+ 12 >0
x > 0 n x > - 12
x > 0
HPx= 4