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1)

If log1227 =a, then log616 is :


A) 3a4(3+a)

B) 3+a4(3a)

C) 3+a(3a)

D) 4(3a)(3+a)

Answer:

Option D

Explanation:

log1227 =a

log27log12 =a

log33log(3×22) =a

3log3log3+2log2 =a

log3+2log23log3 =1a

log33log3 +2log23log3 =1a

2log23log3 =1a13 =(3a3a)

log2log3 =(3a2a) log3 =(2a3a)log2.

log616 =log16log6 =log42log(2×3) =4log2log2+log3

=4log2log2[1+(2a3a)]

=4(3+a3a) =4(3a)(3+a)