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. \(\frac{15}{4}\)
Correct Answer: B. \(\frac{8}{3}\)
Explanation
\(2^7 = 2^{3(5-x)}\Rightarrow 7 = 3^{5-x} \Rightarrow 7 15 - 3x\\
\Rightarrow -8 = -3x \Rightarrow x = \frac{8}{3}\)
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