| Date | May 2017 | Marks available | 4 | Reference code | 17M.1.hl.TZ1.1 |
| Level | HL only | Paper | 1 | Time zone | TZ1 |
| Command term | Find | Question number | 1 | Adapted from | N/A |
Question
Find the solution of \({\log _2}x - {\log _2}5 = 2 + {\log _2}3\).
Markscheme
\({\log _2}x - {\log _2}5 = 2 + {\log _2}3\)
collecting at least two log terms (M1)
eg\(\,\,\,\,\,\)\({\log _2}\frac{x}{5} = 2 + {\log _2}3{\text{ or }}{\log _2}\frac{x}{{15}} = 2\)
obtaining a correct equation without logs (M1)
eg\(\,\,\,\,\,\)\(\frac{x}{5} = 12\)\(\,\,\,\)OR\(\,\,\,\)\(\frac{x}{{15}} = {2^2}\) (A1)
\(x = 60\) A1
[4 marks]
Examiners report
[N/A]
