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Zetta Paper 1 · Q19

Paper 1Functions & graphsPowers & logarithmsNumber & countingAlgebra

Find the number of integer values of kk in the range −500≤k≤500-500\le k\le500 for which the equation log⁡(kx)=2log⁡(x+2)\log(kx)=2\log(x+2) has exactly one real solution.

A499499
B500500
C501501
D502502

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