Can Pi prod be expressed using Sigma Notation?

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Can $\prod(x)$ be expressed in terms of $\sum (x)$?

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1 Answer

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$$\prod_k x_k = \exp\left( \sum_k \ln x_k \right),$$ and as Unwisdom wrote in the comments, if you want to go the other way, $$\sum_k x_k = \ln \left( \prod_k \exp(x_k) \right).$$

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