If x(y+z-x) x = y(z+x-y) y = z(x+y-z) z

MATHEMATICS · Single correct · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

If x(y+z−x)log⁡x=y(z+x−y)log⁡y=z(x+y−z)log⁡z,\frac{x(y+z-x)}{\log x}=\frac{y(z+x-y)}{\log y}=\frac{z(x+y-z)}{\log z}, then xyyx=zyyzx^y y^x=z^y y^z is equal to (1) zxxzz^x x^z (2) xzyxx^z y^x (3) xyyzx^y y^z (4) xxyyx^x y^y

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