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Yotta Paper 2 · Q10

Paper 2Functions & graphsPowers & logarithms

Find the full range of values of the real number kk such that

ln⁡(x)2+ln⁡(1x6)+k=0\ln(x)^2+\ln\left(\frac1{x^6}\right)+k=0

has exactly 22 real solutions.

Ak>9k>9
Bk<9k<9
Ck>0k>0
Dk<0k<0
E0<k<90<k<9
Fk<0, k>9k<0,\ k>9

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