This wikipedia article makes the claim:

"Bernoulli's correspondence with Euler (who also knew the above equation) shows that Bernoulli did not fully understand logarithms."

This is found under "History" . What does wikipedia mean here? Surely, Bernoulli understood what a logarithm was.

  • $\begingroup$ Pure speculation on my part, but perhaps they mean complex logarithms. The logarithm $\log:\mathbb{R}^+ \to \mathbb{R}$ is much simpler. $\endgroup$ – nullUser Jul 14 '13 at 3:32
  • $\begingroup$ @nullUser looks like you were right $\endgroup$ – Ovi Jul 14 '13 at 3:48

According to Bradley and Sandifer, eds., Leonhard Euler: Life, Work and Legacy, pages 259-260, Bernoulli, in correspondence with Euler, 1727-29, asserted $\log(-x)=\log x$. There's more to it than that, the book goes into some detail.

  • $\begingroup$ So I guess nulluser was right $\endgroup$ – Ovi Jul 14 '13 at 3:48

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