Solution 3.3:2c
From Förberedande kurs i matematik 1
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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 |
- | < | + | |
- | {{ | + | {{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>}} | ||
+ | |||
+ | 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\,.