Solution 3.3:2c

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m (Lösning 3.3:2c moved to Solution 3.3:2c: Robot: moved page)
Current revision (14:30, 1 October 2008) (edit) (undo)
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Because <math>\mathop{\text{lg}} 0\textrm{.}001</math> is defined as the exponent that should stand in the coloured box in the equality
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<center> [[Image:3_3_2c.gif]] </center>
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{{Displayed math||<math>10^{\bbox[#FFEEAA;,1.5pt]{\phantom{\scriptstyle ??}}} = 0\textrm{.}001</math>}}
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and we have that
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{{Displayed math||<math>10^{-3} = 0\textrm{.}001\,,</math>}}
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thus <math>\mathop{\text{lg}} 0\textrm{.}0001 = -3\,</math>.

Current revision

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\,.