Solution
= Solution
The preceding <tangent line> calculation gives $x_*=1/2$ and $y_*=e^{2x_*}=e$. The point of tangency is
$$
\boxed{\left(\frac12,e\right).}
$$
= Solution
The preceding <tangent line> calculation gives $x_*=1/2$ and $y_*=e^{2x_*}=e$. The point of tangency is
$$
\boxed{\left(\frac12,e\right).}
$$