If log 5(\(\frac{125x^3}{\sqrt[ 3 ] {y}}\) is expressed in the values of p, q and...
FURTHER MATHEMATICS
WAEC 2020
If log 5(\(\frac{125x^3}{\sqrt[ 3 ] {y}}\) is expressed in the values of p, q and k respectively.
- A. 3, \(\frac{-1}{3}\), 5
- B. \(\frac{-1}{3}\), 3, 5
- C. 3, \(\frac{-1}{3}\), 3
- D. 3, \(\frac{-1}{3}\), 3
Correct Answer: D. 3, \(\frac{-1}{3}\), 3
Explanation
log\(_5\) (\(\frac{125x^3}{\sqrt[3] {y}}\))
= \(\log_5 125 x^3 - \log _1 x^3 - log_5 y\frac{1}{3}\)
= \(3 log_5 5 + 3 log_5 x - \frac{1}{3} log _5 y\)
= 3, - \(\frac{1}{3}\), 3
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