| Exam Board | Edexcel |
|---|
| Module | PMT Mocks (PMT Mocks) |
|---|
| Topic | Exponential Equations & Modelling |
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2. The curves \(C _ { 1 }\) and \(C _ { 2 }\) have equations
$$\begin{aligned}
& C _ { 1 } : \quad y = 2 ^ { 3 x + 2 }
& C _ { 2 } : \quad y = 4 ^ { - x }
\end{aligned}$$
Show that the \(x\)-coordinate of the point where \(C _ { 1 }\) and \(C _ { 2 }\) intersect is \(\frac { - 2 } { 5 }\).