Lösung 3.3:2d

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If we compare the equality which defines <math>\mathop{\text{lg}} 1\,</math>,
If we compare the equality which defines <math>\mathop{\text{lg}} 1\,</math>,
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{{Displayed math||<math>10^{\mathop{\text{lg}} 1} = 1\,,</math>}}
+
{{Abgesetzte Formel||<math>10^{\mathop{\text{lg}} 1} = 1\,,</math>}}
with
with
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{{Displayed math||<math>10^{0} = 1</math>}}
+
{{Abgesetzte Formel||<math>10^{0} = 1</math>}}
we see that <math>\mathop{\text{lg}} 1 = 0\,</math>.
we see that <math>\mathop{\text{lg}} 1 = 0\,</math>.

Version vom 08:41, 22. Okt. 2008

If we compare the equality which defines \displaystyle \mathop{\text{lg}} 1\,,

\displaystyle 10^{\mathop{\text{lg}} 1} = 1\,,

with

\displaystyle 10^{0} = 1

we see that \displaystyle \mathop{\text{lg}} 1 = 0\,.