Question

Va rog ajutati-ma la ex 10

Answer 1

e)

$\it \dfrac{2^{51}-2^{50}-2^{49}}{8^{16}}=\dfrac{31\cdot x}{992}\Rightarrow \dfrac{2^{49}(2^2-2-1)}{(2)^3{16}}=\dfrac{31\cdot x}{31\cdot32}\Rightarrow \\ \\ \Rightarrow \dfrac{2^{49}\cdot1}{2^{48}}=\dfrac{x}{32}\Rightarrow 2=\dfrac{x}{32}\Rightarrow x=2\cdot32=64$