How many positive solutions does lo g 2 ( x 2 + 3 ) = 2 1 lo g 1/3 ( x + 1/ x ) have?

For x > 0 , the left side is positive, while x + 1/ x ≥ 2 makes the right side negative. Hence there is no solution.

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How many positive solutions does $lo g_{2} (x^{2} + 3) = \frac{1}{2} lo g_{1/3} (x + 1/ x)$ have?

Answer:

Solution:

For $x > 0$ , the left side is positive, while $x + 1/ x \geq 2$ makes the right side negative. Hence there is no solution.

Stream:JEESubject:MathematicsTopic:Algebra-MixedSubtopic:Algebra-Mixed

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