tmua.me papers

tmua.me Extreme Set A Paper 1 · Q16

Paper 1Powers & logarithms

The positive real numbers xx and yy satisfy

x+y=92,∣log⁡2x∣+∣log⁡2y∣=2.x+y=\frac92,\qquad |\log_2 x|+|\log_2 y|=2.

What is the product of all the distinct values of xx for which these equations have a solution?

A8125\dfrac{81}{25}
B44
C99
D32425\dfrac{324}{25}
E1616
F814\dfrac{81}{4}

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