Question

Rezolvați ecuația : 1 / 2^x+1 = 0,125

Answer 1

1/2^2+1 , x(ii apartine lui) R
= 2^-(x+1) = 0.125
= 2^-(x+1) = 2^-3
= 2^-x-1 = 2^-3
= -x -1 = -3
= -x = -3+1
= -x = -3
= x = 2

Answer 2

[tex]\it \dfrac{1}{2^{x+1}} = 0,125 \Rightarrow \dfrac{1}{2^{x+1}} = \dfrac{125}{1000} \Rightarrow \dfrac{1}{2^{x+1}} = \dfrac{1}{8} \Rightarrow 2^{x+1} =8 \Rightarrow \\ \\ \\ \Rightarrow 2^{x+1} =2^3 \Rightarrow x+1=3\Rightarrow x=2[/tex]