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Date November 2016 Marks available 5 Reference code 16N.1.hl.TZ0.7
Level HL only Paper 1 Time zone TZ0
Command term Solve Question number 7 Adapted from N/A

Question

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

Markscheme

attempt to form a quadratic in 2x     M1

(2x)2+42x3=0    A1

2x=4±16+122 (=2±7)    M1

2x=2+7 (as 27<0)    R1

x=log2(2+7) (x=ln(2+7)ln2)    A1

 

Note: Award R0 A1 if final answer is x=log2(2+7).

 

[5 marks]

Examiners report

[N/A]

Syllabus sections

Topic 1 - Core: Algebra » 1.2 » Exponents and logarithms.

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