Problem

| Column I | | Column II | |-----|----------------------------------------------|-----|--------------------------| | (A) |

\frac{\log_3 243}{\log_2 \sqrt{32}}

| (p) | positive integer | | (B) |

\frac{2 \log 6}{(\log 12 + \log 3)}

| (q) | negative integer | | (C) |

\log_{1/3} \left( \frac{1}{9} \right)^{-2}

| (r) | rational but not integer | | (D) |

\frac{\log_5 16 - \log_5 4}{\log_5 128}

| (s) | prime |