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16 August, 06:36

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,

+4
Answers (1)
  1. 16 August, 07:01
    0
    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.
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