Sum of Logs

Algebra Level 2

The sum \[\sum_{n=1}^4 \frac{ \log_{0.5}32^{\frac{1}{n}}}{ \log_{0.5}8^{n+2}}\] equals:

This question was taken from ITA (Instituto Tecnológico da Aeronáutica) Brazil 2013-2014 entrance exam.

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