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For positive non-zero real variables $p$ and $q$, if
\[
\log \left(p^{2}+q^{2}\right)=\log p+\log q+2 \log 3,
\]
then, the value of $\frac{p^{4}+q^{4}}{p^{2} q^{2}}$ is

  1. $79$
  2. $81$
  3. $9$
  4. $83$
     

     

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