Newbetuts

If $f(x) \to \infty$ slowly, does $\log \cdots \log (x)$ diverge even slower with enough "$\log$"s? [duplicate]

Prove without using a calculator $(\ln 6)^{(\ln 5)^{(\ln 4)^{(\ln 3)^{(\ln 2)}}}}<\pi$

A $\log \Gamma $ identity: Where does it come from?

High School Advanced Functions: Clarifying log rules in a log equation - $\log(x^2) = 2$, Solve for x.

$\int_{0}^{\pi/2}\ln\left(1+4\sin^4 x\right)\mathrm{d}x$ and the golden ratio

Why is the Logarithm of a negative number undefined?

Hessian of log-sum-exp $f(z) = \operatorname{log} \sum_{i=1}^n z_i$, find $\nabla^2f(z)$

Find $\int _0^1\frac{12\arctan ^2 x\ln (\frac{(1-x)^2}{1+x^2})-\ln ^3(\frac{(1-x)^2}{1+x^2})}{x}\:dx$

How many digits does $2^{1000}$ contain?

How does $2^{(\log_4{x})}$ become $\sqrt[2]{x}$?

Conjecture $\int_0^1\frac{\ln^2\left(1+x+x^2\right)}x dx\stackrel?=\frac{2\pi}{9\sqrt3}\psi^{(1)}(\tfrac13)-\frac{4\pi^3}{27\sqrt3}-\frac23\zeta(3)$

Closed-form of log gamma integral $\int_0^z\ln\Gamma(t)~dt$ for $z =1,\frac12, \frac13, \frac14, \frac16,$ using Catalan's and Gieseking's constant?

Can $\log_a(-b)$ be solved using complex/imaginary numbers?

Evaluating $\int_1^2\frac{\arctan(x+1)}{x}\,dx$

Evaluating $\int_{0}^{\pi}\ln (1+\cos x)\, dx$ [duplicate]

What is the difference between the three types of logarithms? [closed]

New posts in logarithms

Is putting absolute values around the argument of a log obtained through integration incorrect?

Showing $\lim_{n \to +\infty} \log(n!)/(n\log n) = 1$ without using Stirling approximation

Show that $\ln (x) \leq x-1 $

Integral involving logarithm: $\int_0^\infty \frac{ \ln x}{(x+a)(x+b)} dx$

If $f(x) \to \infty$ slowly, does $\log \cdots \log (x)$ diverge even slower with enough "$\log$"s? [duplicate]

Prove without using a calculator $(\ln 6)^{(\ln 5)^{(\ln 4)^{(\ln 3)^{(\ln 2)}}}}<\pi$

A $\log \Gamma $ identity: Where does it come from?

High School Advanced Functions: Clarifying log rules in a log equation - $\log(x^2) = 2$, Solve for x.

$\int_{0}^{\pi/2}\ln\left(1+4\sin^4 x\right)\mathrm{d}x$ and the golden ratio

Why is the Logarithm of a negative number undefined?

Hessian of log-sum-exp $f(z) = \operatorname{log} \sum_{i=1}^n z_i$, find $\nabla^2f(z)$

Find $\int _0^1\frac{12\arctan ^2 x\ln (\frac{(1-x)^2}{1+x^2})-\ln ^3(\frac{(1-x)^2}{1+x^2})}{x}\:dx$

How many digits does $2^{1000}$ contain?

How does $2^{(\log_4{x})}$ become $\sqrt[2]{x}$?

Conjecture $\int_0^1\frac{\ln^2\left(1+x+x^2\right)}x dx\stackrel?=\frac{2\pi}{9\sqrt3}\psi^{(1)}(\tfrac13)-\frac{4\pi^3}{27\sqrt3}-\frac23\zeta(3)$

Closed-form of log gamma integral $\int_0^z\ln\Gamma(t)~dt$ for $z =1,\frac12, \frac13, \frac14, \frac16,$ using Catalan's and Gieseking's constant?

Can $\log_a(-b)$ be solved using complex/imaginary numbers?

Evaluating $\int_1^2\frac{\arctan(x+1)}{x}\,dx$

Evaluating $\int_{0}^{\pi}\ln (1+\cos x)\, dx$ [duplicate]

What is the difference between the three types of logarithms? [closed]