| Exam Board | Edexcel |
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| Module | P2 (Pure Mathematics 2) |
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| Year | 2019 |
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| Session | June |
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| Topic | Exponential Equations & Modelling |
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8. (i) Find the exact solution of the equation
$$8 ^ { 2 x + 1 } = 6$$
giving your answer in the form \(a + b \log _ { 2 } 3\), where \(a\) and \(b\) are constants to be found.
(ii) Using the laws of logarithms, solve
$$\log _ { 5 } ( 7 - 2 y ) = 2 \log _ { 5 } ( y + 1 ) - 1$$