Lösung 3.3:2c
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Version vom 14:31, 22. Okt. 2008
Because \displaystyle \mathop{\text{lg}} 0\textrm{.}001 is defined as the exponent that should stand in the coloured box in the equality
\displaystyle 10^{\bbox[#FFEEAA;,1.5pt]{\phantom{\scriptstyle ??}}} = 0\textrm{.}001 |
and we have that
\displaystyle 10^{-3} = 0\textrm{.}001\,, |
thus \displaystyle \mathop{\text{lg}} 0\textrm{.}0001 = -3\,.