himpunan penyelesaian persamaan 3^2x+3 - 12×3^x
Matematika
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Pertanyaan
himpunan penyelesaian persamaan 3^2x+3 - 12×3^x
1 Jawaban
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1. Jawaban SadonoSukirno
3^2x.3³ - 12.3^x + 1 = 0
(3^x)².27 - 12.3^x + 1 = 0
27(3^x) - 12.3^x + 1 = 0
misalkan 3^x = p
27p² - 12p + 1 = 0
(9p - 1)(3p - 1) = 0
p = 1/9 atau p = 1/3
3^x = 1/9
3^x = 3^-2
x = -2
atau
3^x = 1/3
3^x = 3^-1
x = -1