AQA AS Paper 2 Specimen — Question 3 2 marks

Exam BoardAQA
ModuleAS Paper 2 (AS Paper 2)
SessionSpecimen
Marks2
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicLaws of Logarithms
TypeEvaluate log expression using laws
DifficultyEasy -1.2 This is a straightforward application of basic logarithm laws requiring only recall of log_a(a^n) = n. With just 2 marks and direct substitution yielding 5 + (-1) = 4, it requires no problem-solving or insight, making it easier than average but not trivial since students must recognize the logarithm properties.
Spec1.06f Laws of logarithms: addition, subtraction, power rules

Find the value of \(\log_a(a^5) + \log_a\left(\frac{1}{a}\right)\) [2 marks]

Question 3:
AnswerMarks Guidance
3Correctly applies a single law of
logs with either termAO1.1a M1
log (a3) + log =3 + (–1)
a a 
a
= 3 – 1
= 2
States correct final answer
AnswerMarks Guidance
(NMS scores full marks)AO1.1b A1
Total2
Question 3:
3 | Correctly applies a single law of
logs with either term | AO1.1a | M1 | 1
log (a3) + log =3 + (–1)
a a 
a
= 3 – 1
= 2
States correct final answer
(NMS scores full marks) | AO1.1b | A1
Total | 2
Find the value of $\log_a(a^5) + \log_a\left(\frac{1}{a}\right)$
[2 marks]

\hfill \mbox{\textit{AQA AS Paper 2  Q3 [2]}}