| Exam Board | Edexcel |
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| Module | C2 (Core Mathematics 2) |
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| Topic | Laws of Logarithms |
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8. (a) Given that
$$\log _ { 2 } ( y - 1 ) = 1 + \log _ { 2 } x ,$$
show that
$$y = 2 x + 1 .$$
(b) Solve the simultaneous equations
$$\begin{aligned}
& \log _ { 2 } ( y - 1 ) = 1 + \log _ { 2 } x
& 2 \log _ { 3 } y = 2 + \log _ { 3 } x
\end{aligned}$$