GCE Mathematics 2024 Objective — Question 4
Question 4 of 50 from the General Certificate of Education (GCE) Mathematics 2024 Objective paper, with the correct answer and a full explanation.
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Express in index form: logₐ x + logₐ y = 3
- A. A. x+y=3
- B. B. xy=3
- C. C. x+y=a³
- D. D. xy=a³Correct
Explanation
logₐx+logₐy=logₐxy. Thus logₐxy=3. If logₐP=x, P=aˣ. Thus, as logₐxy=3, xy=a³.
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