Moderate# Piecewise Logarithmic Function

APCALC-NRGKYU

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 $4$.