No 4,5,6 mohon bantuannya
Matematika
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Pertanyaan
No 4,5,6 mohon bantuannya
1 Jawaban
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1. Jawaban PersatuanWibu
4) [tex] 3^{ x^{2} -5} [/tex] =[tex] 9^{x-1} [/tex]
[tex] 3^{ x^{2} -5} [/tex] = [tex] 3^{2(x-1)} [/tex]
x² - 5 = 2(x - 1)
x² - 5 = 2x - 2
x² - 2x - 3 = 0
(x - 3) (x + 1) = 0
[tex] x_{1} [/tex] - 3 = 0 → [tex] x_{2} [/tex] + 1 = 0
[tex] x_{1} [/tex] = 3 [tex] x_{2} [/tex] = -1
5) [tex] 5^{ x^{2} +3} [/tex] = [tex] 25^{2x} [/tex]
[tex] 5^{ x^{2} +3} [/tex] = [tex] 5^{2(2x)} [/tex]
x² + 3 = 4x
x² - 4x + 3 = 0
(x - 1) (x - 3) = 0
x1 = 1 dan x2 = 3
6) [tex] 5^{4-x} [/tex] = [tex] 5^{-1(3x+2)} [/tex]
4 - x = -1(3x +2)
4 - x = -3x - 2
3x - x = -4 - 2
2x = -6
x = -3