5x+5x+1+5x+2
=> (5x+5x+5x)+1+2
= 3.5x + 3
=> x vô nghiệm
\(5^x+5^{x+1}+5^{x+2}\)
\(=5^x+5^x.5+5^x.5^2\)
\(=5^x\left(1+5+5^2\right)\)
\(=5^x.31\)
\(5^x+5^{x+1}+5^{x+2}=31.125\)
\(5^x+5^x.5+5^x+5^2=31.125\)
\(5^x\left(1+5+25\right)=31.125\)
\(5^x.31=31.125\)
\(\Rightarrow5^x=125\)
\(5^x=5^3\)
\(\Rightarrow x=3\)