Question

3^x+2+3^x=270

Answer 1

3^x+2 + 3^x = 270

3^x . 9 + 3^x = 270

3^x ( 1+9)= 270

 3^x . 10 = 270

3^x = 27

3^x = 3^3

=> x= 3

Answer 2

Ta có: 3^x+2+3^x=270

=>3^x.(3²+1)=270

=>3^x.10=270

=>3^x=27=3³

=>x=3

Answer 3

\(3^{x+2}+3^x=270\)

\(\Leftrightarrow3^x\times3^2+3^x=270\)

\(\Leftrightarrow3^x\times\left(3^2+1\right)=270\)

\(\Leftrightarrow\)\(3^x\times10=270\)

\(\Leftrightarrow\) \(3^x=270\div10\)

\(\Leftrightarrow\)\(3^x=27\)

\(\Leftrightarrow3^x=3^3\)

\(\Leftrightarrow x=3\)

Vay x=3