Consider the following state-space representation of a linear time-invariant system.
$x(t)=\begin{pmatrix}
1&0 \\
0&2
\end{pmatrix}
x(t), y(t)= c^{T} x(t), c =\begin{pmatrix}
1& \\
1&
\end{pmatrix}
\text {and }
x(0)= \begin{pmatrix}
1& \\
1&
\end{pmatrix}$
The value of $y(t)$ for $t =\log_{e} 2$ is __________.