Given that \(\frac{5^{n +3}}{25^{2n -2}}\) = 5o, find n
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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
\(\frac{5^{n +3}}{25^{2n -2}}\) = 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