Lösung 3.3:2a
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Version vom 14:31, 22. Okt. 2008
The logarithm \displaystyle \mathop{\text{lg}} 0\textrm{.}1 is defined as that number which should stand in the coloured box in order that the equality
| \displaystyle 10^{\bbox[#FFEEAA;,1.5pt]{\phantom{\scriptstyle ??}}} = 0\textrm{.}1 |
should hold. In this case, we see that
| \displaystyle 10^{-1} = 0\textrm{.}1 |
and therefore \displaystyle \mathop{\text{lg}} 0\textrm{.}1 = -1\,.
