Logarithm of exponential

From specialfunctionswiki
Revision as of 20:50, 6 June 2016 by Tom (talk | contribs) (Created page with "==Theorem== The following formula holds for $-\pi < \mathrm{Im}(z) \leq \pi$: $$\log(\exp(z))=z,$$ where $\log$ denotes the logarithm and $\exp$ denotes the [[exponential]...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

Theorem

The following formula holds for $-\pi < \mathrm{Im}(z) \leq \pi$: $$\log(\exp(z))=z,$$ where $\log$ denotes the logarithm and $\exp$ denotes the exponential.

Proof

References