\(25< 5^n:5< 625\)
\(\Rightarrow5^2< 5^{n-1}< 5^4\)
\(\Rightarrow2< n-1< 4\)
\(\Rightarrow n-1=3\)
\(\Rightarrow n=3+1\)
\(\Rightarrow n=4\)
25 <5^n : 5 <625
=> 5^2<5^n-1<5^4
=>2<n-1<4
=> n-1=3
n=4
\(25<\frac{5^n}{5}<625\Leftrightarrow5^2<\frac{5^n}{5}<5^3\Leftrightarrow5^3<5^n<5^4\Rightarrow\)
3<n<4 nếu nghiêm nguyên thì vô nghiệm