Question

"rezolvati ecuatia;(2laputerea 43 x+2laputerea43 x)X4=2laputerea45 x+8laputerea17 unde x este numar natural"

Answer 1

[tex](2^{43}x+2^{43}x)*4=2^{45}x+8^{17}\\ 2^{44}x*2^2=2^{45}x+(2^3)^{17}\\ 2^{46}x=2^{45}x+2^{51}\\ 2^{46}x-2^{45}x=2^{51}\\ 2^{45}x*(2-1)=2^{51}\\ 2^{45}x=2^{51}\\ x=\frac{2^{51}}{2^{45}}\\ x=2^6=\ \textgreater \ x=64[/tex]