Question

aflati x din egalitatea $2 ^{x + 3} + 2^{x + 2} + 2^x = 52$

Answer 1

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