The value of $\alpha $ for which $4\alpha \int\limits_{ - 1}^2 {{e^{ - \alpha \left| x \right|}}dx} = 5$, is:

Question

The value of $\alpha $ for which
$4\alpha \int\limits_{ - 1}^2 {{e^{ - \alpha \left| x \right|}}dx} = 5$, is:

${\log _e}2$

${\log _e}\sqrt 2 $

${\log _e}\left( {{4 \over 3}} \right)$

${\log _e}\left( {{3 \over 2}} \right)$

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