Let A denotes the sum of the roots of the equation \( \frac{1}{5-4 ...

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Let A denotes the sum of the roots of the equation \( \frac{1}{5-4 \log _{4} x}+\frac{4}{1+\log _{4} x}=3 \).
\( \mathrm{P} \) \( B \) denotes the value of the product of \( \mathrm{m} \) and \( \mathrm{n} \), if \( 2^{\mathrm{m}}=3 \) and \( 3^{\mathrm{n}}=4 \).

W
\( C \) denotes the sum of the integral roots of the equation \( \log _{3 x}\left(\frac{3}{x}\right)+\left(\log _{3} x\right)^{2}=1 \).
The value of \( \mathrm{B}+\mathrm{C} \) equals
(A) 6
(B) 2
(C) 4
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