Product Log Function - Lambert W Function

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Mechatron
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I'm trying to solve the product log of (- (3/2) * e ^(3/2) ) as shown in the link below.

http://www.wolframalpha.com/input/?i=product+log+of+%28-+%283%2F2%29e^%283%2F2%29%29

This is a complex number of about 1 + 2i.
Should I ignore the complex part of the value and is the value (of something with physical property, such as mass) equal to or about 1, or is that only true if the complex part is nearly 0?
 
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