Values of λ \lambda

Algebra Level 3

Sum of values of λ \lambda for which the equation λ x = ∣ ln ⁡ ∣ x ∣ ∣ \lambda x=\left| \ln { \left| x \right| } \right| has two roots is

Where ∣ x ∣ \left| x \right| represents the modulus of x x .


The answer is 0.

Rishabh Deep Singh by Rishabh Deep Singh , 23, India

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1 solution

Deepak Kumar
Jan 23, 2016

Hint:Think using graph of |ln|x||and the fact that y=mx represents a line through origin.(here I have used m for lamda).For each positive value of m, there exits a negative vlaue as well ssatisfying the given equation becaause of ssymmetry.

2 Helpful 0 Interesting 0 Brilliant 0 Confused

Correct i also think of this

Rishabh Deep Singh - 5 years, 4 months ago

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