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Solution 3.3:2a

From Förberedande kurs i matematik 1

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The logarithm <math>\mathop{\text{lg}} 0\textrm{.}1</math> is defined as that number which should stand in the coloured box in order that the equality
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<center> [[Image:3_3_2a.gif]] </center>
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{{Displayed math||<math>10^{\bbox[#FFEEAA;,1.5pt]{\phantom{\scriptstyle ??}}} = 0\textrm{.}1</math>}}
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should hold. In this case, we see that
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{{Displayed math||<math>10^{-1} = 0\textrm{.}1</math>}}
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and therefore <math>\mathop{\text{lg}} 0\textrm{.}1 = -1\,</math>.

Current revision

The logarithm lg0.1 is defined as that number which should stand in the coloured box in order that the equality

10=0.1

should hold. In this case, we see that

10−1=0.1

and therefore lg0.1=−1.

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