If the function \( f(x) \) defined by \( f(x)=\left\{\begin{array}{...

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If the function \( f(x) \) defined by \( f(x)=\left\{\begin{array}{cl}\frac{\log (1+3 x)-\log (1-2 x)}{x}, & x \neq 0 \\ k, & x=0\end{array}\right. \) is continuous at \( x=0 \), then \( k= \)
(a) 1
(b) 5
(c) \( -1 \)
(d) none of these
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