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Answer:
n = 5
Step-by-step explanation:
5^(n - 3) x 3^(2n - 8) = 225
225 = 3² x 5²
5^(n - 3) x 3^(2n - 8) = 3² x 5²
Equating exponents,
n - 3 = 2 --------> Exponent of 5
∴ n = 5
Verifying for exponent of 3,
2n - 8 = 2
2n = 10
∴ n = 5
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