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Logmean area ‘A’ can be given as.
$$ \frac {\log A2 - \log A1}{A2 - A1} $$
$$ \frac {A2 - A1} {\log A2 - \log A1} $$
$$ \frac {\log A2 - \log A1}{\log \left(\frac {A2}{A1}\right)} $$
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