Lösung 3.3:2a

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The logarithm
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<center> [[Image:3_3_2a.gif]] </center>
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<math>\text{lg }0.\text{1 }</math>
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is defined as that number which should stand in the (??) grey box in order that the equality
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<math>10^{??}=0.1</math>
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should hold. In this case, we see that
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<math>10^{-1}=0.1</math>
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and therefore
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<math>\text{lg }0.\text{1}=-\text{1}</math>.

Version vom 13:05, 25. Sep. 2008

The logarithm \displaystyle \text{lg }0.\text{1 } is defined as that number which should stand in the (??) grey box in order that the equality


\displaystyle 10^{??}=0.1


should hold. In this case, we see that


\displaystyle 10^{-1}=0.1


and therefore \displaystyle \text{lg }0.\text{1}=-\text{1}.