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})