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Question on: WAEC Mathematics - 2010

Given that \(\frac{5^{n +3}}{25^{2n -2}}\) = 5o, find n
A
n = 1
B
n = 2
C
n = 3
D
n = 5
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Correct Option: C
\(\frac{5^{n +3}}{25^{2n -2}}\) = 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

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