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Penjelasan dengan langkah-langkah:
^ artinya pangkat
a] 3^(x² – 3x – 4) ≤ 3^(x + 8)
x² – 3x – 4 ≤ x + 8
x² – 3x – x – 4 – 8 ≤ 0
x² – 4x – 12 ≤ 0
(x – 6) . (x + 2) ≤ 0
x – 6 ≤ 0
x ≤ 6
x + 2 ≥ 0
x ≥ -2
-2 ≤ x
HP = { x | -2 ≤ x ≤ 6, x ε bilangan real }
b] 5^(x² – 3x – 2) < 25^(x + 6)
5^(x² – 3x – 2) < (5²)^(x + 6)
x² – 3x – 2 < 2x + 12
x² – 3x – 2x – 2 – 12 < 0
x² – 5x – 14 < 0
(x – 7) . (x + 2) < 0
x – 7 < 0
x < 7
x + 2 > 0
x > -2
-2 < x
HP = { x | -2 < x < 7, x ε bilangan real }
Detail Jawaban
Kelas 10
Mapel 2 – Matematika
Bab 1.1 – Bentuk Akar, Eksponen dan Logaritma
Kode Kategorisasi : 10.2.1.1