| Date | May 2014 | Marks available | 3 | Reference code | 14M.1.sl.TZ2.2 |
| Level | SL only | Paper | 1 | Time zone | TZ2 |
| Command term | Find | Question number | 2 | Adapted from | N/A |
Question
Find the value of each of the following, giving your answer as an integer.
\({\log _6}36\)
[2]
a.
\({\log _6}4 + {\log _6}9\)
[2]
b.
\({\log _6}2 - {\log _6}12\)
[3]
c.
Markscheme
correct approach (A1)
eg \({6^x} = 36,{\text{ }}{6^2}\)
\(2\) A1 N2
[2 marks]
a.
correct simplification (A1)
eg \({\log _6}36,{\text{ }}\log (4 \times 9)\)
\(2\) A1 N2
[2 marks]
b.
correct simplification (A1)
eg \({\log _6}\frac{2}{{12}},{\text{ }}\log (2 \div 12)\)
correct working (A1)
eg \({\log _6}\frac{1}{6},{\text{ }}{6^{ - 1}} = \frac{1}{6}{,6^x} = \frac{1}{6}\)
\(-1\) A1 N2
[3 marks]
c.
Examiners report
[N/A]
a.
[N/A]
b.
[N/A]
c.
