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For \(|x| < 1\):
\begin{equation}
\log\left( \sum_{n=0}^\infty x^n \right) = \sum_{n=1}^\infty \frac{x^n}{n}
\end{equation}
For \(|x| < 1\):
\begin{equation}
\log\left( \sum_{n=0}^\infty x^n \right) = \sum_{n=1}^\infty \frac{x^n}{n}
\end{equation}