If the function `f(x)` defined by f(x)=`(log(1+3x)-"log"(1-2x))/x `, `x!=0` and k , x=0. Find k.

Explanation

To find the value of \( k \) such that the function \( f(x) \) is continuous at \( x = 0 \), we need to evaluate the limit of \( f(x) \) as \( x \) approaches 0. The function is defined as:

\[ f(x) = \frac{\log(1 + 3x) - \log(1 - 2x)}{x}, \quad x \neq 0 \]
and \( f(0) = k \).

### Step 1: Calculate the limit as \( x \) approaches 0
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