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MioMath 2024 Paper 1 · Q1

Paper 1Powers & logarithmsAlgebra

Solve the equation

log⁡4(3x−1)2=log⁡4(12x−4)log⁡4(3x−1).\log_4(3x-1)^2=\frac{\log_4(12x-4)}{\log_4(3x-1)}.
Ax=35, x=23x=\dfrac{3}{5},\ x=\dfrac{2}{3}
Bx=23, x=53x=\dfrac{2}{3},\ x=\dfrac{5}{3}
Cx=512, x=12x=\dfrac{5}{12},\ x=\dfrac{1}{2}
Dx=53, x=12x=\dfrac{5}{3},\ x=\dfrac{1}{2}

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