\(2^{x+3}.2^{x+1}=1024\)
\(\Leftrightarrow2^x.2^3.2^x.2=1024\)
\(\Leftrightarrow2^{2x}.2^4=2^{10}\)
\(\Leftrightarrow2^{2x}=2^{10}:2^4\)
\(\Leftrightarrow2^{2x}=2^6\)
\(\Leftrightarrow2x=6\)
\(\Leftrightarrow x=3\)
vậy x=3
chúc bn hok tốt
\(2^{x+3}.2^{x+1}=1024\)
\(\Leftrightarrow2^{x+3+x+1}=1024\)
\(\Leftrightarrow2^{2x+4}=2^{10}\)
\(\Rightarrow2x+4=10\)
\(\Leftrightarrow2x=6\)
\(\Leftrightarrow x=3\)
HỌC TỐT NHA !
2\(^x\)*2\(^3\)*2\(^x\)*2=1024
2\(^{2x}\)*2\(^4\)=1024
2\(^{2x}\)* 16=1024
2\(^{2x}\)=1024/16
2\(^{2x}\)=64
2\(^{2x}\)=2\(^6\)
\(\Rightarrow\)2x=6
\(\Rightarrow\)x=6/2
\(\Rightarrow\)x=3
Vậy x=3