Edexcel P2 2020 January — Question 9

Exam BoardEdexcel
ModuleP2 (Pure Mathematics 2)
Year2020
SessionJanuary
TopicExponential Equations & Modelling

9. (a) Sketch the curve with equation $$y = 3 \times 4 ^ { x }$$ showing the coordinates of any points of intersection with the coordinate axes. The curve with equation \(y = 6 ^ { 1 - x }\) meets the curve with equation \(y = 3 \times 4 ^ { x }\) at the point \(P\).
(b) Show that the \(x\) coordinate of \(P\) is \(\frac { \log _ { 10 } 2 } { \log _ { 10 } 24 }\)
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