Given that (frac{5^{n +3}}{25^{2n -2}}) = 5o, find n
-
A.
n = 1 -
B.
n = 2 -
C.
n = 3 -
D.
n = 5
Correct Answer: Option C
Explanation
(frac{5^{n +3}}{25^{2n -2}}) = 5o
(frac{5^{n + 3}}{5^{2(2n – 3)}}) = 5o
n + 3 – 4n + 6 = 0
-3n + 9 = 0
-3n = -9
n = (frac{-9}{-3})
n = 3