Question

Tolong donk kerjain nomor 10 - 20

Answer 1

Saya bantu no 10-14 ya :)

10. xˣ²⁻²ˣ⁻⁸ = 1
xˣ²⁻²ˣ⁻⁸ = x⁰
x² - 2x - 8 = 0
(x - 4)(x + 2) = 0
x = 4 atau x = -2

11. (x² + x - 10)ˣ²⁻ˣ = (x - 6)ˣ²⁻ˣ
x² + x - 10 = x - 6
x² + x - x - 10 + 6 = 0
x² - 4 = 0
x² = 4
x = 2 atau x = -2

12. (x - 1)ˣ⁺³ = 1
(x - 1)ˣ⁺³ = (x - 1)⁰
x + 3 = 0
x = -3

13. 5²ˣ - 24 . 5ˣ - 25 = 0
misalkan 5ˣ = n
n² - 24n - 25 = 0
(n - 25)(n + 1) = 0
n = 25 atau n = -1
5ˣ = 25 atau 5ˣ = -1

5ˣ = 25
x = 2

5ˣ = -1
x = ⁵log(-1)

14. 3²ˣ⁺² < 1/√27ˣ⁺¹
3²ˣ⁺² < 1/√(3³)ˣ⁺¹
3²ˣ⁺² < 1/√3³ˣ⁺³
3²ˣ⁺² < 1/3⁽³ˣ⁺³⁾/²
3²ˣ⁺² < 3⁻⁽³ˣ⁺³⁾/²
2x + 2 < -(3x + 3)/2
4x + 4 < -3x - 9
4x + 3x < -9 - 4
7x < -13
x < -13/7