Assuming \(\log_e 4.4 = 1.4816\) and \(\log_e 7.7 = 2.0142\), then the value of \(\log_e \frac{7}{4}\) is

  • A 0.5326
  • B 3.4958
  • C 0.4816
  • D 0.0142
  • E 1.3594
jamb 1978mathematics

The correct answer is A. 0.5326

The logarithm properties state that \(\log_b (a/c) = \log_b a - \log_b c\).

Given that \(\log_e 4.4 = 1.4816\) and \(\log_e 7.7 = 2.0142\), we can calculate \(\log_e \frac{7}{4}\) as follows:

\(\log_e \frac{7}{4} = \log_e 7.7 - \log_e 4.4 = 2.0142 - 1.4816 = 0.5326\)

So, the correct answer is 0.5326.

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