²log(x²-3)-2logx=-1 tolnggg
Matematika
legenda46
Pertanyaan
²log(x²-3)-2logx=-1
tolnggg
tolnggg
2 Jawaban
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1. Jawaban EdiHeaven
²log(x²-3) - ²logx = -1
²log( x²-3 / x) = ²log2^-1
x²-3 / x = 2^-1
x² - 3 / x = ½
2(x²-3)=x
2x²-6=x
2x²-x-6=0
(2x+3)(x-2)
2x+3=0
x=-3/2
x-2=0
x=2
jadi x=-3/2 atau x=2
[tex][/tex] -
2. Jawaban ahreumlim
²log(x² - 3) - ²log x = -1
²log((x² - 3)/x) = ²log2⁻¹
(x² - 3)/x = 1/2
2(x² - 3) = x
2x² - x - 6 = 0
(2x + 3)(x - 2) = 0
x = -3/2 x = 2
x = -3/2 tidak memenuhi,
jadi HP = {2}