New posts in logarithms

Why is it called "antilog" or "anti-logarithm" rather than exponentiation?

logarithms exponentiation

Generalizing Ramanujan's proof of Bertrand's Postulate: Can Ramanujan's approach be used to show a prime between $4x$ and $5x$ for $x \ge 3$

number-theory prime-numbers logarithms

How to find sum of the infinite series $\sum_{n=1}^{\infty} \frac{1}{ n(2n+1)}$

calculus real-analysis sequences-and-series limits logarithms

Logarithm proof problem: $a^{\log_b c} = c^{\log_b a}$

proof-writing logarithms

How to find $\int_0^\infty\frac{\log\left(\frac{1+x^{4+\sqrt{15}}}{1+x^{2+\sqrt{3}}}\right)}{\left(1+x^2\right)\log x}\mathrm dx$

calculus integration definite-integrals logarithms improper-integrals

When log is written without a base, is the equation normally referring to log base 10 or natural log?

notation logarithms

Euler-Mascheroni constant expression, further simplification

sequences-and-series number-theory logarithms euler-mascheroni-constant

Motivation for Napier's Logarithms

logarithms math-history

Closed form for $\int_0^\infty\frac{\log\left(1+\frac{\pi^2}{4\,x}\right)}{e^{\sqrt{x}}-1}\mathrm dx$

calculus integration logarithms definite-integrals closed-form

Determine the following limit as x approaches 0: $\frac{\ln(1+x)}x$

calculus limits logarithms

Is there any simple method to calculate $\sqrt x$ without using logarithm

logarithms arithmetic radicals

Deducing $\int_0^{\pi}\log \sin x dx =-\pi\log 2$ from $\int_0^{\pi}\log (-2ie^{ix}\sin x) dx = 0$

complex-analysis complex-numbers logarithms complex-integration branch-cuts

Show that, for all $n > 1: \frac{1}{n + 1} < \log(1 + \frac1n) < \frac1n.$ [duplicate]

calculus derivatives inequality logarithms

Limit of $\frac{\log(n!)}{n\log(n)}$ as $n\to\infty$.

calculus limits logarithms asymptotics factorial

Simple proof Euler–Mascheroni $\gamma$ constant

limits logarithms euler-mascheroni-constant harmonic-numbers

Showing $\frac{x}{1+x}<\log(1+x)<x$ for all $x>0$ using the mean value theorem [duplicate]

calculus real-analysis inequality logarithms

Evaluating $\int_0^{\large\frac{\pi}{4}} \log\left( \cos x\right) \, \mathrm{d}x $

calculus integration trigonometry definite-integrals logarithms

Apparently cannot be solved using logarithms

algebra-precalculus arithmetic logarithms

Understanding imaginary exponents

trigonometry complex-numbers logarithms

Evaluate: $\int_0^{\pi} \ln \left( \sin \theta \right) d\theta$

complex-analysis integration logarithms