Who are the two men credited with inventing logarithms?

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This is a bonus question on a pre-calculus quiz I've been tasked with grading. Napier is clearly one of the answers. Who should I accept for the second inventor? In particular, should Newton be considered correct?

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Bürgi did invent the logarithms, but since he did not publish anything about them I doubt he should be credited. Henry Briggs, on the other side, convinced Napier that logarithms in base 10 would have been more useful that the ones Napier devised, and after having his benediction started compiling the decimal tables. Therefore I would stick with Briggs.

Newton perused logarithms, but he could not be considered their inventor.