New posts in logarithms

Why the number e(=2.71828) was chosen as the natural base for logarithm functions? [duplicate]

logarithms exponential-function

Why does $\ln(1)+\ln(2)+\ln(3)=\ln(1+2+3)$?

logarithms eulers-number-e

How does one solve for $x$ in the equality $a^x = bx + c$?

inequality logarithms exponential-function special-functions lambert-w

How to calculate limit of logarithm with variable base and argument

limits logarithms

Why does my professor say that writing $\int \frac 1x \mathrm{d}x = \ln|x| + C$ is wrong?

calculus integration logarithms indefinite-integrals

Questions on proofs that a number's digits = $\lfloor \log_{10} n \rfloor +1$?

logarithms

log of summation expression

summation logarithms exponential-sum

How to solve $n < 2^{n/8}$ for $n$?

inequality logarithms asymptotics

Natural log of a negative number

complex-numbers logarithms

Calculate $\int _0^\infty \frac{\ln x}{(x^2+1)^2}dx$

calculus integration complex-analysis definite-integrals logarithms

Solving $\int_0^1(1-u)^{(n-i)} u^i \log(-\log(1-u))^2 du$?

integration logarithms

Is the integral of $\frac{1}{x}$ equal to $\ln(x)$ or $\ln(|x|)$?

integration logarithms

How to prove the inequality $\frac{1}{n}+\frac{1}{n+1}+\cdots+\frac{1}{2n-1}\geq \log (2)$?

inequality summation logarithms problem-solving

Why is the Ratio of $\ln(x)$ and $\log(x)$ a constant?

logarithms

Prove that $\log _5 7 < \sqrt 2.$

inequality logarithms

Contour Integral $ \int_{0}^1 \frac{\ln{x}}{\sqrt{1-x^2}} \mathrm dx$

complex-analysis definite-integrals logarithms contour-integration branch-cuts

Prove $e^{\ln{x}} = x$

proof-writing logarithms

Asymptotic behaviour of log log sum

logarithms asymptotics infinite-product

Generalized Logarithmic Integral - reference request

calculus integration reference-request logarithms closed-form

How to prove $\lim\limits_{x\to 0}x^m (\ln x)^n = 0$

analysis logarithms