0606 P22 - Jun 2017 - Q7 - 7 marks
8599
(a) Given that \(a^7=b\), where \(a\) and \(b\) are positive constants, find
(i) \(\log_a b\),
(ii) \(\log_b a\).
(b) Solve the equation \(\log_{81} y=-\dfrac14\).
(c) Solve the equation
\(\frac{32^{x^2-1}}{4^{x^2}}=16.\)
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