a. HP = {-3, 5}
b. HP = {-6}
–› Bagian a
–› Bagian b
Penjelasan dengan langkah-langkah:
Eksponen
1).
3^(x² + 2x - 11) = 81^(x + 1)
3^(x² + 2x - 11) = (3⁴)^(x + 1)
x² + 2x - 11 - 4x - 4 = 0
x² - 2x - 15 = 0
x² - 5x + 3x - 15 = 0
x(x - 5) + 3(x - 5) = 0
(x + 3)(x-5)= 0
x1 = -3 atau x2 = 5 ....HP = { -3 , 5 }
.
2). 5^2x / 25^(x + 7) = 25^(x - 1)
5^2x / (5²)^(x + 7) = (5²)^(x - 1)
5^(2x - 2x - 14) = 5^(2x - 2)
-14 = 2x - 2
-14+2= 2x
-12= 2x
x = -6
HP = { -6 }
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a. HP = {-3, 5}
b. HP = {-6}
Pembahasan
–› Bagian a
–› Bagian b
Penjelasan dengan langkah-langkah:
Eksponen
1).
3^(x² + 2x - 11) = 81^(x + 1)
3^(x² + 2x - 11) = (3⁴)^(x + 1)
x² + 2x - 11 - 4x - 4 = 0
x² - 2x - 15 = 0
x² - 5x + 3x - 15 = 0
x(x - 5) + 3(x - 5) = 0
(x + 3)(x-5)= 0
x1 = -3 atau x2 = 5 ....HP = { -3 , 5 }
.
2). 5^2x / 25^(x + 7) = 25^(x - 1)
5^2x / (5²)^(x + 7) = (5²)^(x - 1)
5^(2x - 2x - 14) = 5^(2x - 2)
-14 = 2x - 2
-14+2= 2x
-12= 2x
x = -6
HP = { -6 }