find the domain of the equationsfor the domain I got x is greater than 0 and x cannot be equal to 1 but it said I was incorrect

The domain of the equation refers to all values of x for which the equation is valid & possible
[tex]\begin{gathered} \log _3(\sqrt[]{x}+1)=1 \\ x=4 \\ \log _3(\sqrt[]{4}+1)=1 \\ \log _3(2+1)=1 \\ \log _33\Rightarrow1 \\ \therefore x=4 \end{gathered}[/tex]