Determining the maximum likelihood.

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Let $X_1,...X_n$ be a sample from a distribution with probability density

$$p_{\theta} (x) = \theta (1+x)^{-(1+\theta)}, \text{ for } x \geq 0$$

and $0$ elsewhere , with $\theta >0 $ unknown. Determine the maximum likelihood estimator for $\theta$


After calculations, I lead to

$$\theta = \frac{n}{\sum_{i=1}^{n} log(1+x_i)}$$

Is there a way to simplify this more?