| Exam Board | Edexcel |
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| Module | P2 (Pure Mathematics 2) |
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| Year | 2021 |
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| Session | January |
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| Topic | Exponential Equations & Modelling |
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3. (i) Solve
$$7 ^ { x + 2 } = 3$$
giving your answer in the form \(x = \log _ { 7 } a\) where \(a\) is a rational number in its simplest form.
(ii) Using the laws of logarithms, solve
$$1 + \log _ { 2 } y + \log _ { 2 } ( y + 4 ) = \log _ { 2 } ( 5 - y )$$