Lösung 3.3:2b

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<math>\text{lg 1}0000\text{ }</math>
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<math>\mathop{\text{lg}} 10000</math> is that number which should stand in the coloured box in the equality
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is that number which should stand in the grey box (??) in the equality
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{{Displayed math||<math>10^{\bbox[#FFEEAA;,1.5pt]{\phantom{\scriptstyle ??}}} = 10000</math>}}
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<math>10^{??}=10000</math>
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and because
and because
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{{Displayed math||<math>10^4 = 10000</math>}}
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<math>10^{4}=10000</math>
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we see that <math>\mathop{\text{lg}} 10000 = 4\,</math>.
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we see that
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<math>\text{lg 1}0000=\text{4}</math>.
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Version vom 14:27, 1. Okt. 2008

\displaystyle \mathop{\text{lg}} 10000 is that number which should stand in the coloured box in the equality

Vorlage:Displayed math

and because

Vorlage:Displayed math

we see that \displaystyle \mathop{\text{lg}} 10000 = 4\,.