Question

Log(x²+2x)=log(3x+20)
tolong dijawab yah :3
pakai cara.

Answer 1

Verified answer

Log(x²+2x) = log(3x+20)
⇔ x² + 2x = 3x + 20
⇔ x² + 2x - 3x - 20 = 0
⇔ x² - x - 20 = 0
⇔ (x + 4)(x - 5) = 0
⇔ x = -4    atau     x = 5

Answer 2

Verified answer

Persamaan Logaritma.

Persamaan logaritma bentuk ^[h(x)] ㏒ f(x) = ^[h(x)] ㏒ g(x) adalah f(x) = g(x).
㏒ (x² + 2x) = ㏒ (3x + 20)
x² + 2x = 3x + 20
x² - x - 20 = 0
(x² + 4x) + (-5x - 20) = 0
x(x + 4) - 5(x + 4) = 0
(x + 4)(x - 5) = 0
x = 5 ∨ x = -4