The function f(x) = log(pi + x)/log(e + x) is (a) increasing on (0, ∞) - Sarthaks eConnect | Largest Online Education Community
![Prove that: `int_(0)^(pi//2) log (sin x) dx =int_(0)^(pi//2) log (cos x) dx =(-pi)/(2) log 2` - YouTube Prove that: `int_(0)^(pi//2) log (sin x) dx =int_(0)^(pi//2) log (cos x) dx =(-pi)/(2) log 2` - YouTube](https://i.ytimg.com/vi/4XEd1-Lq8Qg/maxresdefault.jpg?sqp=-oaymwEmCIAKENAF8quKqQMa8AEB-AH-CYAC0AWKAgwIABABGHIgTihAMA8=&rs=AOn4CLBewYOOL6HLZMQvcYPgs3PC4SNrhA)
Prove that: `int_(0)^(pi//2) log (sin x) dx =int_(0)^(pi//2) log (cos x) dx =(-pi)/(2) log 2` - YouTube
The function f(x) = log(pi + x)/log(e + x) is (a) increasing on (0, ∞) - Sarthaks eConnect | Largest Online Education Community
![algebra precalculus - How can $\frac{x}{\pi}-\frac{n-x}{1-\pi}$ be the correct derivative of $x\log\pi+(n-x)\log(1-\pi)$? - Mathematics Stack Exchange algebra precalculus - How can $\frac{x}{\pi}-\frac{n-x}{1-\pi}$ be the correct derivative of $x\log\pi+(n-x)\log(1-\pi)$? - Mathematics Stack Exchange](https://i.stack.imgur.com/KF9Cd.png)