Which of the following is/are Not True?
1
\(\frac{(x+y)^k}{2^k} \leq max{(x^k , y^k) } \) for all x, y>0 and all k \(\geq \)1.
2
\(\sin{ \frac{x+y}{2}} \leq \frac{(\sin x+\sin y)}{2} \) for all x, y>0
3
\(e^(\frac{x+y}{2}) \leq \frac{e^x +e^y }{2} \) for all x,y>0
4
\(log\frac{x+y}{2} \leq \frac {\log x+\log y}{2}\) for all x, y>0