| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Solve exponential equations |
| Difficulty | Moderate -0.8 This is a straightforward indices equation requiring students to express both sides as powers of 2 and equate exponents. It's simpler than average A-level questions as it involves only basic index manipulation with a single variable and no algebraic rearrangement beyond solving a linear equation. |
| Spec | 1.02a Indices: laws of indices for rational exponents1.06g Equations with exponentials: solve a^x = b |
| Answer | Marks | Guidance |
|---|---|---|
| \((2^y)^{y+3} = 2^3\) | M1 | |
| \(2y + 6 = 3\) | M1 | |
| \(y = -\frac{3}{2}\) | A1 | (3) |
$(2^y)^{y+3} = 2^3$ | M1 |
$2y + 6 = 3$ | M1 |
$y = -\frac{3}{2}$ | A1 | (3)Find the value of $y$ such that
$$4^{y + 3} = 8.$$ [3]
\hfill \mbox{\textit{Edexcel C1 Q1 [3]}}