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Solve the equation 2\(^7\) = 8\(^{5-x}\)

Mathematics
WAEC 2005

Solve the equation 2\(^7\) = 8\(^{5-x}\)

  • A. \(\frac{5}{8}\)
  • B. \(\frac{8}{3}\)
  • C. \(\frac{3}{2}\)
  • D. \(\frac{15}{4}\)
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Correct Answer: Option B
Explanation

2\(^7\) = 8\(^{5-x}\)

2\(^7\) = 2\(^{3(5 - x)}\)

7 = 15 - 3x

7 - 15 = - 3x

-8 = -3x

x = \(\frac{8}{3}\)


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