\(7^{2x}+7^{2x+2}=2450\)
\(7^{2x}\left(1+7^2\right)=2450\)
\(7^{2x}=2450\div50\)
\(7^{2x}=49\)
\(\Rightarrow2x=2\)
\(\Leftrightarrow x=1\)
\(7^{2x}+7^{2x+2}=2450\)
\(\Leftrightarrow7^{2x}+7^{2x}.7^2=2450\)
\(\Leftrightarrow7^{2x}\left(1+7^2\right)=2450\)
\(\Leftrightarrow49^x\left(1+49\right)=2450\)
\(\Leftrightarrow49^x.50=2450\)
\(\Leftrightarrow49^x=2450:50\)
\(\Leftrightarrow49^x=49\)
\(\Rightarrow x=1\)
vậy x=1
