2025 CGSS PRELIMS P2 Q2

2025 CGSS PRELIMS P2 Q2

Secondary 4
5 marks

Show that the solution of the equation \(12^{x+1}=36\times4^{x+2}\) can be expressed as \(1+\frac{\lg a}{\lg b}\), where \(a\) and \(b\) are integers.[5]

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Answer:\(x=1+\dfrac{\lg16}{\lg3}\), where \(a=16\) and \(b=3\).

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