Product Log Function - Lambert W Function

AI Thread Summary
The discussion focuses on calculating the product log function for the expression - (3/2) * e^(3/2), resulting in a complex number approximately equal to 1 + 2i. There is uncertainty about whether to disregard the complex component when interpreting the value, particularly in relation to physical properties like mass. The relevance of the solution to other undisclosed problems is questioned, highlighting the need for context in such calculations. Participants express the importance of understanding the implications of complex results in practical applications. Ultimately, the discussion emphasizes the complexity of interpreting mathematical results in real-world scenarios.
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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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