Question

3^x + 3^x+1 = 108

Answer 1

\(3^x+3^{x+1}=108\)

\(\Rightarrow3^x+3^x.3=108\)

\(\Rightarrow3^x.\left(1+3\right)=108\)

\(\Rightarrow3^x.4=108\)

\(\Rightarrow3^x=27\)

\(\Rightarrow3^x=3^3\)

\(\Rightarrow x=3\)

Vậy \(x=3\)

Answer 2

3^x + 3^x+1 = 108

3^x + 3^x . 3 = 108

3^x . (1 + 3) = 108

3^x . 4 = 108

3^x = 108 : 4

3^x = 27

3^x = 3³

=> x = 3