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Solve: 8\(^{x - 2}\) = 4\(^{3x}\)  

Further Mathematics
WAEC 2019

Solve: 8\(^{x - 2}\) = 4\(^{3x}\)

 

  • A. -2
  • B. -1
  • C. 1
  • D. 2
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Correct Answer: Option B
Explanation

8\(^{x - 2}\) = 4\(^{3x}\)

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

2 \(^{3x - 4}\) = 2\(^{6x}\)

2 \(^{x - 4}\)  = 6\(^x\)

\(\frac{-4x}{-4}\) = \(\frac{4}{-4}\)

x = -1


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WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995