Solve the equation 2\(^7\) = 8\(^{5-x}\)
A
\(\frac{5}{8}\)
B
\(\frac{8}{3}\)
C
\(\frac{3}{2}\)
D
\(\frac{15}{4}\)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
2\(^7\) = 8\(^{5-x}\)
2\(^7\) = 2\(^{3(5 - x)}\)
7 = 15 - 3x
7 - 15 = - 3x
-8 = -3x
x = \(\frac{8}{3}\)
Source: Myschool Past Questions Archive (Record #26681)