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0606 P12 - Jun 2018 - Q9 - 9 marks
8428

(a)(i) Solve \(\lg x=3\).

(a)(ii) Write \(\lg a-2\lg b+3\) as a single logarithm.

(b)(i) Solve \(x-5+\dfrac6x=0\).

(b)(ii) Hence, showing all your working, find the values of \(a\) such that

\(\log_4 a-5+6\log_a4=0.\)

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