Answer
$-\infty $
Work Step by Step
Given $$\lim _{t \rightarrow 3^{+}} \ln (t-3)$$
Let $ x=t-3$. Then
\begin{align*} \lim _{t \rightarrow 3^{+}} \ln (t-3)&=\lim _{x \rightarrow 0^{+}} \ln x\\
&=-\infty
\end{align*}
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