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Evaluate \(\log_{0.25} 8\)

Further Mathematics
WAEC 2006

Evaluate \(\log_{0.25} 8\)

  • A. \(\frac{3}{2}\)
  • B. \(\frac{2}{3}\)
  • C. \(-\frac{2}{3}\)
  • D. \(-\frac{3}{2}\)
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Correct Answer: Option D
Explanation

\(\log_{0.25} 8 = x\)

\(8 = 0.25^{x}\)

\(2^{3} = (2^{-2})^{x} \implies 3 = -2x\)

\(x = -\frac{3}{2}\)


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Project Topics and Materials, Post-UTME past questions - Download now or upload yours to get paid
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
Join your school's WhatsApp group
Join your school's WhatsApp group
Project Topics and Materials, Post-UTME past questions - Download now or upload yours to get paid
NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts