\(3^{2x+2}=9^{10}\)
\(\Rightarrow3^{2x+2}=\left(3^2\right)^{10}=3^{20}\)
\(\Rightarrow2x+2=20\)
\(\Rightarrow2x=20-2=18\)
\(\Rightarrow x=18:2=9\)
\(3^{2x+2}=9^{10}\)
\(\Rightarrow\) \(3^{2x+2}=\left(3^2\right)^{10}\)
\(\Rightarrow\) \(3^{2x+2}=3^{20}\)
\(\Rightarrow\) \(2x+2=20\)
\(\Rightarrow\) \(2x=18\)
\(\Rightarrow\) \(x=9\)