Answer:
Option D
Explanation:
log1227 =a
⇒log27log12 =a
⇒log33log(3×22) =a
⇒3log3log3+2log2 =a
⇒log3+2log23log3 =1a
⇒ log33log3 +2log23log3 =1a
⇒2log23log3 =1a−13 =(3−a3a)
⇒log2log3 =(3−a2a) ⇒log3 =(2a3−a)log2.
log616 =log16log6 =log42log(2×3) =4log2log2+log3
=4log2log2[1+(2a3−a)]
=4(3+a3−a) =4(3−a)(3+a)