New posts in Logarithms

Proving $\log\left(\frac{4^n}{\sqrt{2n+1}{2n\choose n+m}}\right)\geq \frac{m^2}{n}$

When writing $\int_{1}^{x}x^2dx$, is $x$ a variable or a constant?

Show that $(1+x)\log(1+x)-x \geq x^2/4$ on $(-1, 4]$

Nice integral $\int_{0}^{\infty}\frac{x\log(x)}{e^{x^2}+1}dx=?$

exp(log + log) for positive semidefinite matrices

If $x\geq 1$, then $x^{x^{\cos(x)}}\geq (1-\sqrt{x}+x)^{(x+1)^{\cos(x)}}$

Evaluate $\int_0^1 \frac{\log ^2(x+1) \log \left(x^2+1\right)}{x^2+1} dx$

is log 0 is or is not undefined?

Logarithmic equation, some variables in bases and in arguments

Identity about integral of logarithm