The number of solutions of $\frac{{\log 5 + {\rm{log}}\left( {{x^2} + 1} \right)}}{{\log \left( {x - 2} \right)}} = 2$ is

JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Analyzing +4 | -1

The number of solutions of

\frac{{\log 5 + \mathrm{log}\left( {{x^2} + 1} \right)}}{{\log \left( {x - 2} \right)}} = 2

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Correct option: D

None of these

Option D (None of these) is correct because the equation simplifies to a value of x that makes the logarithm undefined.

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