5^x + 5^(x + 1) + 5^(x + 2) = 31
5^x.(1 + 5 + 5²) = 31
5^x . 31 = 31
5^x = 31 : 31
5^x = 1
5^x = 5⁰
x = 0
\(5^x+5^x.5^1+5^x.5^2=31\)
\(5^x+5^x.5+5^x.25=31\)
\(5^x.\left(25+5+1\right)=31\)
\(5^x.31=31\)
\(5^x=31\div31\)
\(5^x=1\)
\(x=0\)
5x+5x+1+5x+2=31
5x.(1+5+52)=31
5x.31=31
5x=31:31
5x=1
5x=50
x=0
Vậy x=0
\(5^x+5^x\cdot5+5^x\cdot5^2=31< =>5^x\left(1+5+5^2\right)=31< =>5^x\cdot31=31< =>5^x=1< =>x=0\)