Q.
Column I
Column II
A
$\frac{\log _2 32}{\log _3 \sqrt{243}}$
P
positive integer
B
$\frac{2 \log 6}{\log 12+\log 3}$
Q
negative integer
C
$\log _{1 / 4}\left(\frac{1}{16}\right)^{-2}$
R
rational but not integer
D
$\frac{\log _5 16-\log _5 4}{\log _5 128}$
S
prime
T
irrational number
| Column I | Column II | ||
|---|---|---|---|
| A | $\frac{\log _2 32}{\log _3 \sqrt{243}}$ | P | positive integer |
| B | $\frac{2 \log 6}{\log 12+\log 3}$ | Q | negative integer |
| C | $\log _{1 / 4}\left(\frac{1}{16}\right)^{-2}$ | R | rational but not integer |
| D | $\frac{\log _5 16-\log _5 4}{\log _5 128}$ | S | prime |
| T | irrational number | ||
Continuity and Differentiability
Solution: