Question

Aflati pe x din egalitatea:

$2^{x+3}$ - $2^{x+2}$ + $2^{x}$ = 40

Answer 1

Salut! (⁠｡⁠•̀⁠ᴗ⁠-⁠)⁠✧

$2 ^{x + 3} - {2}^{x + 2} + {2}^{x} = 40 \\ < = > 2 {}^{x} \times {2}^{3} - {2}^{x} \times {2}^{2} + {2}^{x} = 40 \\ < = > {2}^{x} \times (2^{3} - {2}^{2} + 1) = 40 \\ < = > {2}^{x} \times5 = 40 \\ < = > {2}^{x} = 40 \div 5 \\ < = > {2}^{x} = 8 \\ < = > x = 3$

Succes!☕