| Exam Board | Edexcel |
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| Module | C2 (Core Mathematics 2) |
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| Year | 2010 |
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| Session | June |
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| Topic | Laws of Logarithms |
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7. (a) Given that
$$2 \log _ { 3 } ( x - 5 ) - \log _ { 3 } ( 2 x - 13 ) = 1$$
show that \(x ^ { 2 } - 16 x + 64 = 0\).
(b) Hence, or otherwise, solve \(2 \log _ { 3 } ( x - 5 ) - \log _ { 3 } ( 2 x - 13 ) = 1\).