Question

(1/125)^ 2x-3 =25^9-2x
tentukan nilai x.

Plissd

Answer 1

(5⁻³)^(2x - 3) = (5²)^(9 - 2x)
- 6x + 9 = 18 - 4x
2x = - 9
x = -9/2

Answer 2

(1/125)^2x - 3 = 25^9-2x
⇒ (5^-3)^2x-3 = (5^2)^9-2x
⇒5^-6x+9 = 5^18-4x
⇒-6x + 9 = 18 - 4x (5 dihilangkan krn bil.pokokny dh sama)
⇒ -6x + 4x = 18 - 9
⇒ -2x = 9
⇒ x = -4,5