New posts in logarithms

Trans series for an integral

logarithms power-series improper-integrals

Comparing Powers of Different Bases

algebra-precalculus inequality logarithms exponentiation

What is the inverse of $2^x$? [duplicate]

functions logarithms exponential-function inverse

Ways of showing $\sum_\limits{n=1}^{\infty}\ln(1+1/n)$ to be divergent

real-analysis calculus sequences-and-series convergence-divergence logarithms

A series for $\log (a) \log (b)$ in terms of hypergeometric function

integration sequences-and-series logarithms hypergeometric-function

What is the math behind this transformation on exponents that are logarithms?

logarithms exponentiation

How to solve equations with logarithms, like this: $ ax + b\log(x) + c=0$

logarithms transcendental-equations

Conjecture $\sum_{n=0}^\infty a_n= \frac{1}{2}-\frac{7 \zeta(3)}{2 \pi^2}$

sequences-and-series logarithms riemann-zeta conjectures

Natural logarithms base $e$

calculus logarithms

$a_{n+1}=\log(1+a_n),~a_1>0$. Then find $\lim_{n \rightarrow \infty} n \cdot a_n$

sequences-and-series limits logarithms

Show that $\int_0^1 \frac{\ln(1+x)}x\mathrm dx=-\frac12\int_0^1 \frac{\ln x}{1-x}\mathrm dx$ without actually evaluating both integrals

calculus integration definite-integrals logarithms

Solve $\int_{0}^{1} \log(x)\log(1-x) dx$ without convolution

calculus integration definite-integrals logarithms

How to solve $\int_0^{\infty} \frac{\log(x+\frac{1}{x})}{1+x^2}dx$?

calculus integration definite-integrals logarithms closed-form

Upper Bound of Logarithm

analysis logarithms bounded-variation

How to compute the asymptotic growth of $\binom{n}{\log n}$?

asymptotics logarithms binomial-coefficients

Log function properties and time series data

logarithms time-series

Stirling's formula Baby Rudin

analysis logarithms exponential-function gamma-function change-of-variable

$\int_0^1\frac{\ln x\ln^2(1-x^2)}{\sqrt{1-x^2}}dx=\frac{\pi}{2}\zeta(3)-2\pi\ln^32$

integration sequences-and-series definite-integrals logarithms riemann-zeta

Which is bigger among (i) $\log_2 3$ and $\log _3 5$ (ii) $\log_2 3$ and $\log _3 11$.

inequality logarithms

How to prove $\log n \leq \sqrt n$ over natural numbers?

inequality logarithms radicals