# A Brilliant way to kick off 2k15

Algebra Level 4

Consider the following equation:

$\log_{\frac{3}{4}}\log_{8}(x^{2} + 7) + \log_{\frac{1}{2}}\log_{\frac{1}{4}}(x^{2} + 7)^{-1}= -2.$

The values of $$x$$ which satisfy this equation are $$A$$ and $$-A.$$ Then find $$A!$$

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