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tmua.fyi Paper 1 Challenge 1 · Q1

Paper 1Powers & logarithms

The positive real numbers xx and yy satisfy log⁡2x+log⁡4y=4\log_2 x+\log_4 y=4 and log⁡2y+log⁡4x=5\log_2 y+\log_4 x=5. Find the value of log⁡2(xy)\log_2(xy).

A44
B55
C66
D99
E1212

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