Question

\( \log 2 \) is:

• A. A rational number
• B. An irrational number
• C. A whole number
• D. An integer

Hint:

The logarithm of most numbers, like 2, is irrational, except for specific values like \( \log 10 \), which are rational.

Answer 1

The Correct Option is B

The logarithm of 2, \( \log 2 \), is an irrational number. This can be shown because \( \log 2 \) cannot be expressed as a fraction of two integers. The value of \( \log 2 \) (in base 10) is approximately 0.3010, and it cannot be expressed exactly as a rational number. Therefore, the correct answer is that \( \log 2 \) is an irrational number.