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Date November 2017 Marks available 5 Reference code 17N.1.AHL.TZ0.H_1
Level Additional Higher Level Paper Paper 1 (without calculator) Time zone Time zone 0
Command term Solve Question number H_1 Adapted from N/A

Question

Solve the equation log 2 ( x + 3 ) + log 2 ( x 3 ) = 4 .

Markscheme

* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.

log 2 ( x + 3 ) + log 2 ( x 3 ) = 4

log 2 ( x 2 9 ) = 4     (M1)

x 2 9 = 2 4   ( = 16 )     M1A1

x 2 = 25

x = ± 5     (A1)

x = 5     A1

[5 marks]

Examiners report

[N/A]

Syllabus sections

Topic 1—Number and algebra » SL 1.5—Intro to logs
Topic 1—Number and algebra » SL 1.7—Laws of exponents and logs
Topic 1—Number and algebra

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