Răspuns :

Răspuns:

  • a) x = 4
  • b) x = 1/4

Explicație pas cu pas:

Salut!

a) [(3¹⁰ • 3⁵)² : 81 + 3 • (9³)⁴] : x = 3²⁵

[(3¹⁵)² : 81 + 3 • (9³)⁴] : x = 3²⁵

[3³⁰ : 81 + 3 • (9³)⁴] : x = 3²⁵

(3³⁰ : 81 + 3 • 9¹²) : x = 3²⁵

(3³⁰ : 3⁴ + 3 • 9¹²) : x = 3²⁵

(3²⁶ + 3 • 9¹²) : x = 3²⁵

[(3²⁶ + 3 • (3²)¹²] : x = 3²⁵

(3²⁶ + 3 • 3²⁴) : x = 3²⁵

(3²⁶ + 3²⁵) : x = 3²⁵

(3 + 1) × 3²⁵ : x = 3²⁵

4 × 3²⁵ : x = 3²⁵

4 × 3²⁵ = 3²⁵ • x

4 × 3²⁵ = x • 3²⁵

x = 4

b) 2²⁰⁰⁷/4¹⁰⁰⁴ = x/0,5

2²⁰⁰⁷/4¹⁰⁰⁴ = x/1/2

2²⁰⁰⁷/(2²)¹⁰⁰⁴ = x/1/2

2²⁰⁰⁷/2²⁰⁰⁸ = x/1/2

1/2 = x/1/2

1/2 • 1/2 = x

1/4 = x => x = 1/4

Succes! ☺️