Giải giúp mk nha 2×3^2x+1=3^50-3^49 2^x+2^y=9×2^100 28/10/2021 Bởi Josie Giải giúp mk nha 2×3^2x+1=3^50-3^49 2^x+2^y=9×2^100
$a)2.3^{2x+1}=3^{50}-3^{49}\\ \Leftrightarrow 2.3^{2x+1}=3^{49}(3-1)\\ \Leftrightarrow 2.3^{2x+1}=2.3^{49}\\ \Rightarrow 2x+1=49\\ \Leftrightarrow x=24\\ b)2^x+2^y=9.2^{100}\\ \Leftrightarrow 2^x+2^y=(8+1).2^{100}\\ \Leftrightarrow 2^x+2^y=(2^3+1).2^{100}\\ \Leftrightarrow 2^x+2^y=2^{103}+2^{100}\\ \Rightarrow x=103;y=100$ Bình luận
$a)2.3^{2x+1}=3^{50}-3^{49}\\ \Leftrightarrow 2.3^{2x+1}=3^{49}(3-1)\\ \Leftrightarrow 2.3^{2x+1}=2.3^{49}\\ \Rightarrow 2x+1=49\\ \Leftrightarrow x=24\\ b)2^x+2^y=9.2^{100}\\ \Leftrightarrow 2^x+2^y=(8+1).2^{100}\\ \Leftrightarrow 2^x+2^y=(2^3+1).2^{100}\\ \Leftrightarrow 2^x+2^y=2^{103}+2^{100}\\ \Rightarrow x=103;y=100$