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If log 5(\(\frac{125x^3}{\sqrt[ 3 ] {y}}\) is expressed in the values of p, q and k respectively.

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
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Correct Answer: Option D
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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WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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WAEC offline past questions - with all answers and explanations in one app - Download for free