If \( \log _{6} 30=\mathrm{a} \) and \( \log _{15} 24=\mathrm{b} \), then the value of \( \frac{....

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If \( \log _{6} 30=\mathrm{a} \) and \( \log _{15} 24=\mathrm{b} \), then the value of
\( \mathrm{P} \)
\( \frac{2+\log _{2} 3+\log _{2} 5}{2+\log _{2} 3} \) is
(A) \( \frac{a b+2 a+1}{a b+b+1} \)
(B) \( \frac{a b+2 b-1}{a b+b-1} \)
(C) \( \frac{2 a b+2 a-1}{a b+b+1} \)
(D) \( \frac{2 \mathrm{ab}+2 \mathrm{a}+1}{\mathrm{ab}+\mathrm{b}-1} \)


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