Solution 3.3:2a
From Förberedande kurs i matematik 1
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| - | {{  | + | The logarithm   | 
| - | <  | + | <math>\text{lg }0.\text{1 }</math>  | 
| - | {{  | + | is defined as that number which should stand in the (??) grey box in order that the equality  | 
| + | |||
| + | |||
| + | <math>10^{??}=0.1</math>  | ||
| + | |||
| + | |||
| + | should hold. In this case, we see that  | ||
| + | |||
| + | |||
| + | <math>10^{-1}=0.1</math>  | ||
| + | |||
| + | |||
| + | and therefore   | ||
| + | <math>\text{lg }0.\text{1}=-\text{1}</math>.  | ||
Revision as of 13:05, 25 September 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}.
