If \(log_{y}\frac{1}{8}\) = 3, find the value of y.
FURTHER MATHEMATICS
WAEC 2017
If \(log_{y}\frac{1}{8}\) = 3, find the value of y.
- A. -2
- B. -\(\frac{1}{2}\)
- C. \(\frac{1}{2}\)
- D. 2
Correct Answer: C. \(\frac{1}{2}\)
Explanation
\(log_{y}\frac{1}{8} = 3 \implies y^{3} = \frac{1}{8}\) (Laws of logarithm)
\(y^{3} = \frac{1}{2^{3}} = (\frac{1}{2})^{3}\)
Equating both sides, we have
\(y = \frac{1}{2}\)
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 Your email address will not be published.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 *