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Euclid R2Drew2 Edition Paper 1 · Q11

Paper 1Powers & logarithmsAlgebra

The equation

log⁡2(x2−5x+8)+log⁡2(8−x2+5x)=4\log_2(x^2-5x+8)+\log_2(8-x^2+5x)=4

has two real solutions pp and qq.

What is pqpq?

A−83-8\sqrt3
B−43-4\sqrt3
C−23-2\sqrt3
D232\sqrt3
E434\sqrt3
F838\sqrt3

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