| Exam Board | AQA |
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| Module | Paper 1 (Paper 1) |
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| Year | 2023 |
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| Session | June |
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| Topic | Laws of Logarithms |
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6 Show that the equation
$$\begin{aligned}
& \qquad 2 \log _ { 10 } x = \log _ { 10 } 4 + \log _ { 10 } ( x + 8 )
& \text { has exactly one solution. }
& \text { Fully justify your answer. }
\end{aligned}$$