Multiple choice

If x > y > 1, which of the following must be true?

(1) ln x > ln y (2) ex > ey (3) yx > xy (4) cos x > cos y

  1. (1) and (2)

  2. (1) and (3)

  3. (3) and (4)

  4. (4) and (1)
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$\text{If} \hspace{0.5cm} x > y \\ \text{Then} \hspace{0.5cm} e^x > e^y \\ \text{Similarly, for x > y > 1 log x is increasing function. Hence,} \\ \text{In} x > In y$

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