Question

Aflati numarul natural X din egalitatea :2 la puterea X + 3 × 2 la puterea X


Repede ,va rooog!!!!

Answer 1

$2^\big{\text{x}}+3\cdot 2^\big{\text{x}} = 256 \Rightarrow \\ \\ \Rightarrow 2^\big{\text{x}}\cdot (1+3) = 256 \Rightarrow \\ \\ \Rightarrow2^\big{\text{x}} \cdot 4 =256 \Rightarrow \\ \\ \Rightarrow 2^\big{\text{x}} = \dfrac{256}{4} \Rightarrow \\ \\ \Rightarrow 2^\big{\text{x}} = 64 \Rightarrow \\ \\ \Rightarrow 2^\big{\text{x}} = 2^\big6 \Rightarrow \\ \\ \Rightarrow \boxed{\text{x} = 6}$

Answer 2

2^x +3* 2^x=256
2^x(3+1)=256
2^x *4=256
2^x=256/4
2^x=64
2^x=2^6=>x=6