\(3\cdot5^{2x+1}-3\cdot25^x=300\)
\(=>3\cdot5^{2x+1}-3\cdot5^{2x}=300\)
\(=>3\cdot\left(5^{2x+1}-5^{2x}\right)=300\)
\(=>3\cdot\left(5^{2x}\cdot5-5^{2x}\right)=300\)
\(=>5^{2x}\cdot\left(5-1\right)=300:3\)
\(=>5^{2x}\cdot4=100\)
\(=>5^{2x}=100:4=25\)
\(=>5^{2x}=5^2\)
\(=>2x=2\)
\(=>x=2:2=1\)