If the equation possesses exactly one real solution

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

If the equation 3xln⁡x=1+kln⁡x3x\ln x=1+k\ln x possesses exactly one real solution, then the range of kk is (a) [1,∞)[1,\infty) (b) (−∞,0](-\infty,0] (c) (0,∞)(0,\infty) (d) (−∞,∞)(-\infty,\infty)

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