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Date November 2016 Marks available 5 Reference code 16N.1.AHL.TZ0.H_7
Level Additional Higher Level Paper Paper 1 (without calculator) Time zone Time zone 0
Command term Solve Question number H_7 Adapted from N/A

Question

Solve the equation 4 x + 2 x + 2 = 3 .

Markscheme

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

attempt to form a quadratic in 2 x      M1

( 2 x ) 2 + 4 2 x 3 = 0    A1

2 x = 4 ± 16 + 12 2   ( = 2 ± 7 )    M1

2 x = 2 + 7   ( as  2 7 < 0 )    R1

x = log 2 ( 2 + 7 )   ( x = ln ( 2 + 7 ) ln 2 )    A1

 

Note: Award R0 A1 if final answer is x = log 2 ( 2 + 7 ) .

 

[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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