Can't figure it out

5^(2*x) = 25

5^(2*x)=5^2 Equate the exponents

2*x =2 divide both sides by 2

x =2/2

x=1

$\ln (5^{2x})=\ln 25\\ 2x \ln 5 = \ln 25\\ x \ln 5^2 = \ln 25\\ x = \ln25 / \ln 25 = 1$