Question

3^{x + 2} + 3^x =30

Answer 1

\(3^{x+2}+3^x=30\)

\(\Rightarrow3^x.3^2+3^x=30\)

\(\Rightarrow3^x.\left(3^2+1\right)=30\)

\(\Rightarrow3^x.10=30\)

\(\Rightarrow3^x=3\)

\(\Rightarrow x=1\)

Vậy \(x=1\)

Answer 2

3^x+2+3^x= 30

3^x.3²+3x = 30

3^x.(3²+ 1) = 10

3^x.10=30

3^x=3

x=1

Vậy x=1