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Given the piece-wise function:
$$h(x)=\begin{cases} \ln\left( 5c-{ 3x }^{ 2 } \right) \quad ;\quad x\ge 4 \\\ \ln\left( 3c+2x \right) \quad ;\quad x<4 \end{cases}$$

Find the value of $c$ so that $h(x)$ is continuous at $4$.

A

$c=4$

B

$c=92$

C

$c=16$

D

$c=28$

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