Nilai x yang memenuhi persamaan 1/2 log (x2-3)-1/2 log x = -1
Matematika
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Pertanyaan
Nilai x yang memenuhi persamaan 1/2 log (x2-3)-1/2 log x = -1
1 Jawaban
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1. Jawaban Anonyme
LogAritMa
(1/2)'log (x² - 3) - (1/2)'log x = -1
(1/2)'log ((x² - 3)/x) = -1
(x² - 3)/x = (1/2)^-1
(x² - 3)/x = 2
kali silang
x² - 3 = 2x
x² - 2x - 3 = 0
(x - 3)(x + 1) = 0
x = 3 ; x = -1
Syarat numerus : > 0
x > 0
x² - 3 > 0 ---> x² > 3
NiLai x yg memenuhi :
x = 3