1. The curve $C$ has parametric equations

$x={t}^{2}+6t-16y=6ln(t+3)t>-3$

The curve $C$ cuts the $y$-axis at the point $P$.

Show that the equation of the tangent to $C$ at $P$ can be written in the form

$ax+by=cln5$

where $a$, $b$ and $c$ are integers to be found.