Find the sum of all possible values of \( \mathrm{x} \) satisfying ...

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Find the sum of all possible values of \( \mathrm{x} \) satisfying simultaneous the equations
\( \mathrm{P} \)
\[
\log ^{2} x-3 \log x=\log \left(x^{2}\right)-4 \text { and } \log ^{2}(100 x)+\log ^{2}(10 x)=14+\log \left(\frac{1}{x}\right) .
\]
W
[Note: Assume base of logarithm is 10.]
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