Edexcel P2 2020 October — Question 9

Exam BoardEdexcel
ModuleP2 (Pure Mathematics 2)
Year2020
SessionOctober
TopicLaws of Logarithms

9. (i) Find the exact value of \(x\) for which $$\log _ { 3 } ( x + 5 ) - 4 = \log _ { 3 } ( 2 x - 1 )$$ (ii) Given that $$3 ^ { y + 3 } \times 2 ^ { 1 - 2 y } = 108$$
  1. show that $$0.75 ^ { y } = 2$$
  2. Hence find the value of \(y\), giving your answer to 3 decimal places.
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