Exponential function: Difference between revisions

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Consider z=-1
Complex exponential: Removing apparently false statement. For example, b^{w+z} = b^w b^z and b^0 = 1 for any b > 0, not just b = e.
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The functional equation
<math display="block">e^{w+z}=e^we^z</math>
holds for every complex numbers {{tmath|w}} and {{tmath|z}}. The complex exponential is the unique [[continuous function]] that satisfies this functional equation and has the value {{tmath|1}} for {{tmath|1=z=0}}.
 
The [[complex logarithm]] is a [[left inverse function|right-inverse function ]] of the complex exponential: