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

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

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: Option B
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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