Question

Tentukan hasil pers exponen
3125 - 4 . 5^x+1 - 5^2x-2 = 0

Answer 1

Penyelesaian :
3125 - 4 . 5ˣ⁺¹ - 5²ˣ⁻² = 0
3125 - 4 . 5ˣ⁻¹⁺² - (5ˣ⁻¹)² = 0
3125 - 100 . 5ˣ⁻¹ - (5ˣ⁻¹)² = 0
(5ˣ⁻¹)² + 100 . 5ˣ⁻¹ - 3125 = 0
(5ˣ⁻¹ + 125)(5ˣ⁻¹ - 25) = 0

Jadi :
  5ˣ⁻¹ = 5²
 x - 1 = 5
      x = 3