If `y=log_e(x/(a+b x))^x` , then `x^3y_2` is (a) `(x y_1-y)^2` (b) `(1+y)^2` (c) `((y-x y_1)/(y_1))^2` (d) none of these

Explanation

To solve the problem, we need to find the value of \( x^3 y_2 \) where \( y = \log_e\left(\frac{x}{a + bx}\right)^x \).

### Step 1: Rewrite the function \( y \)

Using the properties of logarithms, we can rewrite \( y \):
\[ y = x \log_e\left(\frac{x}{a + bx}\right) = x \left(\log_e(x) - \log_e(a + bx)\right) \]
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