Express \(\log \frac{1}{8} + \log \frac{1}{2}\) in terms of \(\log 2\).
FURTHER MATHEMATICS
WAEC 2013
Express \(\log \frac{1}{8} + \log \frac{1}{2}\) in terms of \(\log 2\).
- A. 3 log 2
- B. 4 log 2
- C. -3 log 2
- D. -4 log 2
Correct Answer: D. -4 log 2
Explanation
\(\log \frac{1}{8} + \log \frac{1}{2} = \log 8^{-1} + \log 2^{-1}\)
= \(\log 2^{-3} + \log 2^{-1}\)
= \(-3 \log 2 - 1 \log 2 = -4 \log 2\)
Post an Explanation Or Report an Error
If you see any wrong question or answer, please leave a comment below and we'll take a look. If you doubt why the selected answer is correct or need additional more details? Please drop a comment or Contact us directly. Your email address will not be published. Required fields are marked *