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Solution 3.3:5f

From Förberedande kurs i matematik 1

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Current revision (07:34, 2 October 2008) (edit) (undo)
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Since
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Since <math>\ln e=1</math>, the whole expression becomes
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<math>\ln e=1</math>, the whole expression becomes
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{{Displayed math||<math>\bigl(e^{\ln e}\bigr)^2 = \bigl(e^{1}\bigr)^2 = e^{1\cdot 2} = e^2\,\textrm{.}</math>}}
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<math>\left( e^{\ln e} \right)^{2}=\left( e^{1} \right)^{2}=e^{1\centerdot 2}=e^{2}</math>
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Current revision

Since lne=1, the whole expression becomes

elne2=e12=e12=e2.