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Beyond Horizon Set 1 Paper 2 · Q8

Paper 2Powers & logarithms

Given that log⁡px=α\log_p x=\alpha and log⁡qx=β\log_q x=\beta, the value of log⁡p/qx\log_{p/q}x equals:

Aαββ−α\dfrac{\alpha\beta}{\beta-\alpha};
Bβ−ααβ\dfrac{\beta-\alpha}{\alpha\beta};
Cα−βαβ\dfrac{\alpha-\beta}{\alpha\beta};
Dαβα−β\dfrac{\alpha\beta}{\alpha-\beta}.

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