Match the following Column I Column II (A) If

Match the following Column I Column II (A) If log4575=x and log135375=y then xy+5(x–y) equals (p) 3 (B) The number of real solutions of the equation X(log3X)2−92(log3X−5)=33/2 (q) 1 (C) The number of real solutions (x, y, z) of the system of equations log(2xy) = logx logy, logyz = logy logz log(2zx) = logz logx is (r) 4 (D) If log1227=x and log616=ytheny(3+x)(3−x) equals (s) 2

Answer» Match the following

	Column I		Column II
(A)	If $l o g_{45} 75 = x$ and $l o g_{135} 375 = y$ then $x y + 5 (x - y)$ equals	(p)	3
(B)	The number of real solutions of the equation $X^{(l o g_{3} X)^{2} - \frac{9}{2} (l o g_{3} X - 5)} = 3^{3 / 2}$	(q)	1
(C)	The number of real solutions (x, y, z) of the system of equations log(2xy) = logx logy, logyz = logy logz log(2zx) = logz logx is	(r)	4
(D)	If $l o g_{12} 27 = x$ and $l o g_{6} 16 = y t h e n \frac{y (3 + x)}{(3 - x)}$ equals	(s)	2