Question

am nevoie de ajutor pt exerciti de simulare mate pt clasa a 11 a .rezolvati inmulțimea numerelor reale ecuația 2 ori 2 la puterea x =4 la puterea x-4

Answer 1

$\displaystyle \mathtt{2 \cdot 2^x=4^{x-4}}\\ \\ \mathtt{2^{1+x}=2^{2(x-4)}}\\ \\ \mathtt{1+x=2(x-4)}\\ \\ \mathtt{1+x=2x-8}\\ \\ \mathtt{x-2x=-8-1}\\ \\ \mathtt{-x=-9}\\ \\ \mathtt{\textbf{x=9}}$