5^x+1=5^2016/25
5^x+1=5^2016/5^2
5^x+1=5^2014
x+1=2014
x=2013
sai thì thôi mong bạn thông cảm
\(5^{x+1}\times5^2=5^{2016}\)
\(5^{x+3}=5^{2016}\)
\(\Rightarrow x=2016-3\)
\(\Rightarrow x=2013\)
\(5^{x+1}.25=2^{2016}\)
\(\Leftrightarrow5^{x+1}.5^2=5^{2016}\)
\(\Rightarrow5^{x+1}=5^{2016}:5^2\)
\(\Rightarrow5^{x+1}=5^{2014}\)
\(\Rightarrow x+1=2014\)
\(\Rightarrow x=2014-1\)
\(\Rightarrow x=2013\)
Vậy x = 2013
