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Matematika
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Tolong bantu jawab dengan caranya
1 Jawaban
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1. Jawaban Anonyme
Bab Eksponensial
Matematika SMP Kelas IX
7a] 2ˣ + 4 . 2⁻ˣ = 5
** semua dikalikan 2⁻ˣ **
(2ˣ)² + 4 = 5 . 2ˣ
2ˣ = p
p² + 4 = 5p
p² - 5p + 4 = 0
(p - 1) (p - 4) = 0
p - 1 = 0
p = 1
p - 4 = 0
p = 4
2ˣ = 1
2ˣ = 2⁰
x = 0
2ˣ = 4
2ˣ = 2²
x = 2
jadi, x = 0 atau x = 2
7b] 5ˣ - 6 (√5)ˣ + 5 = 0
√5ˣ = p
(√5ˣ)² = p²
p² - 6p + 5 = 0
(p - 1) (p - 5) = 0
p - 1 = 0
p = 1
p - 5 = 0
p = 5
√5ˣ = 1
√5ˣ = √5⁰
x = 0
√5ˣ = 5
√5ˣ = √5²
x = 2
jadi, x = 0 atau x = 5