Higher June 2017 Paper 2 Q18
18 \(16^{\frac{1}{5}} \times 2^x = 8^{\frac{3}{4}}\)
Work out the exact value of \(x\). (3)
| Answer | Mark | Notes |
|---|---|---|
| 1.45 | P1 | for converting to a common base with at least one correct conversion, eg. \((16 =)\ 2^4\) or \((8 =)\ 2^3\) |
| P1 | (dep) for correct use of index laws to derive an equation, eg. \(4 \times \dfrac{1}{5} + x = 3 \times \dfrac{3}{4}\) oe | |
| A1 | for 1.45 oe (accept \(2^{1.45}\)) | |
| OR | ||
| P1 | for a process to find the value of \(2^x\), eg. \(8^{\frac{3}{4}} \div 16^{\frac{1}{5}} = 2.73\ldots\) | |
| A2 | for 1.45 oe (accept \(2^{1.45}\)) |