Question

2 la x + 3 + 2 la x + 2 + 2 la x=52 aflați x

Answer 1

$2^{x+3}+2^{x+2}+2^x=52 \\ 2^x(2^3+2^2+1)=52 \\ 2^x(8+4+1)=52 \\ 2^x(12+1)=52 \\ 2^x \cdot 13=52 \\ 2^x=52:13 \\ 2^x=4 \\ 2^x=2^2 \\ x=2$