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Date	May 2014	Marks available	2	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]

${\log _6}4 + {\log _6}9$

[2]

${\log _6}2 - {\log _6}12$

[3]

Markscheme

correct approach (A1)

eg ${6^x} = 36,{\text{ }}{6^2}$

$2$ A1 N2

[2 marks]

correct simplification (A1)

eg ${\log _6}36,{\text{ }}\log (4 \times 9)$

$2$ A1 N2

[2 marks]

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]

Examiners report

[N/A]

Syllabus sections

Topic 1 - Algebra » 1.2 » Laws of exponents; laws of logarithms.

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