3log2 2x + 3log 8x3 + 3log9 = 0
Matematika
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Pertanyaan
3log2 2x + 3log 8x3 + 3log9 = 0
1 Jawaban
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1. Jawaban johnhsdnh
³log² 2x + ³log 8x³ + ³log 9 = 0
³log² 2x + ³log (2x)³ + ³log 3² = 0
³log² 2x + 3 ³log 2x + 2 = 0
(³log 2x + 1)(³log 2x + 2) = 0
³log 2x + 1 = 0 ---> ³log 2x = -1 ---> 2x = 3^-1 ---> x = 1/6
³log 2x + 2 = 0 ---> ³log 2x = -2 ---> 2x = 3^-2 ---> x = 1/18
Nilai x :
x = 1/6
x = 1/18