Question

O valor da equação exponencial 2 x-1 + 2x + 2x+1 – 2x+2+2x+3 = 120 é:

Answer 1

Boa tarde Julia 

2^(x - 1) + 2^x + 2^(x + 1) - 2^(x + 2) + 2^(x + 3) = 120

2^x* (1/2 + 1 + 2 - 4 + 8) = 120
2^x* (1/2 + 7) = 120
2^x* (15/2) = 120 
2^x = 240/15 = 16 = 2^4

x = 4 

Answer 2

Resposta:

2^(x - 1) + 2^x + 2^(x + 1) - 2^(x + 2) + 2^(x + 3) = 120

2^x* (1/2 + 1 + 2 - 4 + 8) = 120

2^x* (1/2 + 7) = 120

2^x* (15/2) = 120

2^x = 240/15 = 16 = 2^4

x = 4

Explicação passo a passo: