| Exam Board | Edexcel |
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| Module | C12 (Core Mathematics 1 & 2) |
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| Year | 2018 |
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| Session | January |
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| Topic | Laws of Logarithms |
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10. (i) Use the laws of logarithms to solve the equation
$$3 \log _ { 8 } 2 + \log _ { 8 } ( 7 - x ) = 2 + \log _ { 8 } x$$
(ii) Using algebra, find, in terms of logarithms, the exact value of \(y\) for which
$$3 ^ { 2 y } + 3 ^ { y + 1 } = 10$$