Solution 3.3:2d

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Current revision (14:33, 1 October 2008) (edit) (undo)
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If we compare the equality which defines
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If we compare the equality which defines <math>\mathop{\text{lg}} 1\,</math>,
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<math>\text{lg 1}</math>
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<math>10^{\text{lg 1}}=1</math>
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{{Displayed math||<math>10^{\mathop{\text{lg}} 1} = 1\,,</math>}}
with
with
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{{Displayed math||<math>10^{0} = 1</math>}}
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<math>10^{0}=1</math>
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we see that <math>\mathop{\text{lg}} 1 = 0\,</math>.
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we see that
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<math>\text{lg 1}=0</math>.
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Current revision

If we compare the equality which defines \displaystyle \mathop{\text{lg}} 1\,,

\displaystyle 10^{\mathop{\text{lg}} 1} = 1\,,

with

\displaystyle 10^{0} = 1

we see that \displaystyle \mathop{\text{lg}} 1 = 0\,.

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