CAT 2019 Logarithms Question (Medium)

Question

If x is a real number ,then is a real number if and only if

Accepted Answer

Step 1 We are given is a real number For the square root to be real The expression inside must be non-negative So Step 2 Use property if and only if So Solve or So inequality holds for Step 3 Also, the argument of the logarithm must be positive Step 4 Combine both conditions from logarithm non-negat

CAT 2019

Quantitative

Logarithms

Medium

If x is a real number ,then $\sqrt{log_{e}\frac{4x - x^2}{3}}$ is a real number if and only if

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