`#3107.101107`
\(\left(3^x-81\right)\left(x^2+1\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}3^x-81=0\\x^2+1=0\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}3^x=81\\x^2=-1\left(\text{vô lý}\right)\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}3^x=3^3\\x\in\varnothing\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=3\\x\in\varnothing\end{matrix}\right.\)
Vậy, `x = 3.`