5x+4 = 1252
<=> 5x+4 = 56
<=> x + 4 = 6
<=> x = 2
5x+4 = 1252
\(\Rightarrow\) 5x+4 = (53)2
\(\Rightarrow\) 5x+4 = 56
\(\Rightarrow\) x + 4 = 6
\(\Rightarrow\) x = 2
\(5^{x+4}=125^2\)
\(\Rightarrow5^{x+4}=\left(5^3\right)^2\)
\(\Rightarrow5^{x+4}=5^6\)
\(\Rightarrow x+4=6\)
\(\Rightarrow x=2\)
Vậy \(x=2\)