5x + 5x+1 + 5x+2 = 3875
5x + 5x.5 + 5x.52 = 3875
5x + 5x.5 + 5x.25 = 3875
5x.(1 + 5 + 25) = 3875
5x.31 = 3875
5x = 3875 : 31
5x = 125 = 53
=> x = 3
Vậy x = 3
5^x+5^x+1+5^x+2=3875
5^x+5.5^x+5^2.5^x=3875
5^x.(25+5+1)=3875
5^x.31=3875
5^x=3875:31
5^x=3875:31
5^x=125
5^x=5^3
x=3