Question

Pakai caranya y
#matematika wjib kls 10

Answer 1

Verified answer

10][
5^(3x - 1) = 1
3x - 1 = 0
3x = 1
x = 1/3

11][
4^(x² - 7x - 20) = 1/16^(x + 3)
4^(x² - 7x - 20) = 4^-2(x + 3)
x² - 7x - 20 = -2x - 6
x² - 5x - 14 = 0
(x - 7)(x + 2) = 0
x = 7 atau x = -2

Answer 2

Verified answer

Kata kunci : persamaan eksponen
Mapel : matematika

10. 5^3x -1 = 1
=> 5^3x - 1 = 5^0
=> 3x - 1 = 0
=> 3x = 1
=> x = 1/3 (C)

11. 4^(x^2 - 7x - 20) = 1/ 16^(x + 3)
=> 4^(x^2 - 7x - 20) = 1/4^2(x+3)
=> 4^(x^2 - 7x - 20) = 4^-2(x+3)
=> 4^(x^2 - 7x - 20) = 4^(-2x - 6)
=> x^2 - 7x - 20 = -2x - 6
=> x^2 - 7x + 2x - 20 + 6 = 0
=> x^2 - 5x - 14 = 0
=> cari hasil yg jika dikalikan -14 dan ditambah hasilnya -5 yaitu 2 dan - 7
=> (x + 2) (x - 7)
=> x = -2 atau x = 7
=> -2 dan 7 (A)