Edexcel P2 2018 Specimen — Question 6

Exam BoardEdexcel
ModuleP2 (Pure Mathematics 2)
Year2018
SessionSpecimen
TopicLaws of Logarithms

6. (i) Find the exact value of \(x\) for which $$\log _ { 2 } ( 2 x ) = \log _ { 2 } ( 5 x + 4 ) - 3$$ (ii) Given that $$\log _ { a } y + 3 \log _ { a } 2 = 5$$ express \(y\) in terms of \(a\). Give your answer in its simplest form.
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