Question

me ajudem pffff
2^x+1 + 2^x-2 = 9/2

Answer 1

Assumimos 2^x = y


2^(x+1) + 2^(x-2) = 9/2

2^x. 2¹ + 2^x . 2-² = 9/2

y. 2¹ + y. 1/2² = 9/2

2y + y/4 = 9/2

multiplica por 4

8y + y = 18

9y = 18

y = 18/9

y = 2


Logo...

2^x = y
2^x = 2¹

x = 1