CAT 2015 Quantitative Ability

Question : 34 of 34

Marks: +1, -0

If log 2x = 2 log (x + 1), find the number of real values of x?.

Solution:

Clearly, x > 0
The equation reduces to

2x = x^2 + 2x +1

⇒ 0 = x^2 + 1

Which does not have real roots.
Hence, there are no solutions

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