Aus Online Mathematik Brückenkurs 1

Version vom 08:19, 26. Sep. 2008 (bearbeiten) Ian (Diskussion | Beiträge) ← Zum vorherigen Versionsunterschied		Version vom 07:19, 2. Okt. 2008 (bearbeiten) (rückgängig) Tek (Diskussion | Beiträge) K Zum nächsten Versionsunterschied →
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-	The notation ln is used for the logarithm with the natural base	+	The notation ln is used for the logarithm with the natural base <math>e = 2\textrm{.}7182818\ldots\,,</math> and we therefore have that <math>\ln e = 1\,</math>, which together with the logarithm law, <math>b\lg a=\lg a^b</math>, gives that
-	<math>e=\text{2}.\text{7182818}...,</math>	+
-	and we therefore have that	+	{{Displayed math||<math>\ln e^3 + \ln e^2 = 3\cdot\ln e + 2\cdot \ln e = 3\cdot 1 + 2\cdot 1 = 5\,\textrm{.}</math>}}
-	<math>\text{ln }e=\text{1}</math>, which together with the logarithm law,	+
-	<math>b\lg a=\lg a^{b}</math>, gives that	+
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-		+
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-	<math>\ln e^{3}+\ln e^{2}=3\centerdot \ln e+2\centerdot \ln e=3\centerdot 1+2\centerdot 1=5</math>	+

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Version vom 07:19, 2. Okt. 2008

The notation ln is used for the logarithm with the natural base \displaystyle e = 2\textrm{.}7182818\ldots\,, and we therefore have that \displaystyle \ln e = 1\,, which together with the logarithm law, \displaystyle b\lg a=\lg a^b, gives that

Vorlage:Displayed math