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tmua.me Extreme Set A Paper 1 · Q7

Paper 1Powers & logarithmsAlgebra

For which values of the real constant kk does the equation

log⁡2(x2−2x−k)=1+log⁡2(2x−k)\log_2(x^2-2x-k)=1+\log_2(2x-k)

have exactly one real solution for xx?

Ak<8k<8
B0<k<80<k<8
C0≤k<80\leq k<8
D0≤k≤80\leq k\leq8
E0≤k≤90\leq k\leq9
Fk=9 onlyk=9\text{ only}

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