Question

Rezolvati in R ecuatia: $2^{x} = 3 - 2^{x+1}$

Answer 1

$2^{x} = 3-2^{x+1} \Rightarrow 2^x+2^{x+1} = 3 \Rightarrow 2^x+2^x\cdot2 = 3 \Rightarrow \\ \Rightarrow 2^x(1+2) = 3 \Rightarrow 2^x\cdot3 = 3 \Rightarrow 2^x =1 \Rightarrow 2^x = 2^0 \Rightarrow x = 0$