Question

2 elevado x+1+2elevado x=12

Answer 1

${2}^{x + 1} + {2}^{x} = 12 \\ {2}^{x} \times {2}^{1} + {2}^{x} = 12 \: \: \: \: \: \: ( {2}^{x} = y) \\ y \times 2 + y = 12 \\ 2y + y = 12 \\ 3y = 12 \\ y = \frac{12}{3} \\ y = 4 \\ \\ {2}^{x} = y \\ {2}^{x} = 4 \\ {2}^{x} = {2}^{2} \\ x = 2$

Resposta final: x = 2