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0606 P12 - Mar 2019 - Q5 - 7 marks
8234

Given that \(\log_4 x=p\), find, in terms of \(p\),

(i) \(\log_4(16x)\),

(ii) \(\log_4\left(\dfrac{x^7}{256}\right)\).

(iii) Hence solve \(\log_4(16x)-\log_4\left(\dfrac{x^7}{256}\right)=5\), giving your answer correct to 2 decimal places.

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