Solve the equation \(2^7 = 8^{5-x}\)
- \(\frac{5}{8}\)
-
\(\frac{8}{3}\)
- \(\frac{3}{2}\)
- \(\frac{15}{4}\)
The correct answer is: B
Explanation
\(2^7 = 2^{3(5-x)}\Rightarrow 7 = 3^{5-x} \Rightarrow 7 15 - 3x\\\Rightarrow -8 = -3x \Rightarrow x = \frac{8}{3}\)