Question

OFER COROANA + 40 DE PUNCTE PRIMULUI RASPUNS CORECT! Aflati x: 4 la puterea 5 × 2 la puterea 14 × x + 8 la puterea 9 = 4 la puterea 14

Answer 1

(2^10*2^14)*x +2^27=2^28

(2^24)*x=2^28-2^27=2*2^27-2^27
(2^24)*x=2^27
x=2^27 :2^24=2^(27-24)=2³=8

Answer 2

4⁵ × 2¹⁴ × x + 8⁹ = 4¹⁴
2¹⁰ × 2¹⁴ × x +2²⁷ = 2²⁸
2²⁴ × x  = 2²⁸-2²⁷
2²⁴ × x  = 2²⁷(2¹-2⁰)
2²⁴ × x  = 2²⁷(2-1)
2²⁴ × x  = 2²⁷
x=2²⁷/2²⁴
x=2³