Write log4 14 as a logarithm of base 3.

1) (log4) 3 / (log14) 3

2) (log14) 3 / (log4) 3

3) (log3) 4 / (log3) 14

4) (log3) 14 / (log3) 4,

The change-of-base formula for logarithms is:

loga (b) = [logc (b) ] / [logc (a) ]

where:

a = original base

b = original argument

c = new base

Hence,

log4 (14) = log3 (14) / log3 (4)

Therefore the correct answer is D.