\(5^x+5^{x+2}=650\)
\(\Leftrightarrow5^x\left(1+5^2\right)=650\)
\(\Leftrightarrow5^x.26=650\)
\(\Leftrightarrow5^x=25\)
\(\Leftrightarrow x=2\)
Vậy x = 2
5x + 5x+2 = 650
=> 5x + 5x.52 = 650
=> 5x.(1 + 52) = 650
=> 5x.(1 + 25) = 650
=> 5x.26 = 650
=> 5x = 650 : 26
=> 5x = 25 = 52
=> x = 2
5^x+5^x+2=650
5^x(1+25)=650
5^x26=650
5^x=650:26
5^x=25
=>5^x=5^5
x=5