Question

3^x+1+3^x+3=810

Answer 1

\(3^{x+1}+3^{x+3}=810\)

\(\Rightarrow3^x.3+3^x.27=810\)

\(\Rightarrow3^x\left(3+27\right)=810\)

\(\Rightarrow3^x.30=810\)

\(\Rightarrow3^x=27\Rightarrow x=3\)

Answer 2

`[101]`

`3^x . 3 + 3^x . 27 = 810`

`3^x . 30 = 810`

`3^x = 27`

`-> x = 3`.

Answer 3

X =3