- In this question you must show all stages of your working.
Solutions relying on calculator technology are not acceptable.
- By substituting \(p = 2 ^ { x }\), show that the equation
$$2 \times 4 ^ { x } - 2 ^ { x + 3 } = 17 \times 2 ^ { x - 1 } - 4$$
can be written in the form
$$4 p ^ { 2 } - 33 p + 8 = 0$$
- Hence solve
$$2 \times 4 ^ { x } - 2 ^ { x + 3 } = 17 \times 2 ^ { x - 1 } - 4$$