OCR C2 — Question 7

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
TopicLaws of Logarithms
  1. (i) Given that
$$\log _ { 2 } ( y - 1 ) = 1 + \log _ { 2 } x$$ show that $$y = 2 x + 1$$ (ii) Solve the simultaneous equations $$\begin{aligned} & \log _ { 2 } ( y - 1 ) = 1 + \log _ { 2 } x
& 2 \log _ { 3 } y = 2 + \log _ { 3 } x \end{aligned}$$
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