GCEFurther MathematicsSurds, Indices and Logarithms2024

1. (a) Without using tables or calculator, simplify: (√75 - √48) / √3, leaving your answer in the simplest form. [4 marks] (b) Given that log₂(x + 3) + log₂(x - 1) = 5, find the value(s) of x. [6 marks] (c) If 2^(2x) - 5(2^x) + 4 = 0, find the value(s) of x. [5 marks]

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