Question

2 la puterea x+1+2 la puterea x=24

Answer 1

$2^{x} + 2^{x+1} =24 \\ substituim \\ y= 2^{x} \\ y+2y=24=\ \textgreater \ 3y=24=\ \textgreater \ y=8 \\ 2^{x}=8=\ \textgreater \ x=3$

Answer 2

2ⁿ†¹ + 2ⁿ =24
2ⁿ·2¹ + 2ⁿ =24
2ⁿ·(2+1)=24
3·2ⁿ=24
2ⁿ=8
2ⁿ=2³
n=3

S={3}