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[Maximum Mark: 5]
Let \( \log_{3}{81} = \log_{3}{c^d} \), where \( c \) and \( d \) are integers and \( c < d \).
(a) Find the values of \( c \) and \( d \). [3 marks]
(b) Hence, or otherwise, find the value of \( \log_{3}{81} \). [3 marks]
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