Match the following: | Column I | Column II | |---|---| |

MATHEMATICS · Subjective · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

Match the following:

Column I	Column II
(a) If $\alpha$ and $\beta$ are the roots of $ax^2+bx+c=0$ , where $a=2^{\log_2 3}-3^{\log_3 2}$ , $b=1+2^{\sqrt{\log_2 3}}-3^{\sqrt{\log_3 2}}$ , and $c=\log_2\log_2\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{2}}}}}$ , then the HM of $\alpha$ and $\beta$ is	(p) Divisible by $2$
(b) The sum of the solutions of $x-1^{\log_2x^2-2\log_x4}=(x-1)^7$ is	(q) Divisible by $4$
(c) If $5(\log_yx+\log_xy)=26$ and $xy=64$ , then the value of $x-y$ is	(r) Divisible by $6$
	(s) Divisible by $8$
	(t) Divisible by $10$