If the equation possesses one real solution

MATHEMATICS · Single correct · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

If the equation

3x\ln x=1+k\ln x

possesses one real solution, then the range of

k

is (a)

[1,\infty)

(b)

(-\infty,0]

(c)

(0,\infty)

(d)

(-\infty,\infty)