Machine-translated by Google. Questions are authored in English.
Top

Discussion

Ln(2) is

  • A.binary logarithm
  • B.natural logarithm
  • C.common logarithm
  • D.inverse logarithm

Answer: B

The notation \( \ln \) always means the logarithm to base \( e \), so \( \ln 2 \) is a natural logarithm - the power to which \( e \) must be raised to give 2:

\[ \ln 2 \;=\; \log_e 2 \;\approx\; 0.693 \]

The trap is the numeral 2 in the bracket, which suggests base 2. The 2 is the argument, not the base. A binary logarithm is written \( \log_2 x \) and takes 2 as its base; the two are different, and indeed \( \log_2 2 = 1 \) whereas \( \ln 2 \approx 0.693 \).

No comment is present. Be the first to comment.
Loading…

Post your comment

Please log in or register to post a comment.