A.S. level question on logarithms

Algebra Level 2

By forming a quadratic equation, show that there is only one value of x which satisfies the equation 2 log2(x+7)-log2(x+5)=3.
Base 2 for both logs.
Find the answer x.

Question from the AQA 2013 A level core 2 past paper question 8b).


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