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New posts in logarithms
Integrals of the form ${\large\int}_0^\infty\operatorname{arccot}(x)\cdot\operatorname{arccot}(a\,x)\cdot\operatorname{arccot}(b\,x)\ dx$
calculus
integration
trigonometry
definite-integrals
logarithms
Integral $\int_0^1\frac{\ln\left(x+\sqrt2\right)}{\sqrt{2-x}\,\sqrt{1-x}\,\sqrt{\vphantom{1}x}}\mathrm dx$
calculus
integration
definite-integrals
logarithms
closed-form
Closed form for $\int_0^1\log\log\left(\frac{1}{x}+\sqrt{\frac{1}{x^2}-1}\right)\mathrm dx$
calculus
integration
logarithms
definite-integrals
closed-form
What algorithm is used by computers to calculate logarithms?
algorithms
numerical-methods
logarithms
computational-mathematics
A new imaginary number? $x^c = -x$
algebra-precalculus
complex-numbers
logarithms
exponentiation
Ramanujan log-trigonometric integrals
calculus
integration
trigonometry
definite-integrals
logarithms
For which complex $a,\,b,\,c$ does $(a^b)^c=a^{bc}$ hold?
complex-analysis
complex-numbers
logarithms
exponential-function
exponentiation
What's so "natural" about the base of natural logarithms?
calculus
logarithms
exponential-function
Find $\lim_\limits{x\to -\infty}{\frac{\ln\left(1+3^x\right)}{\ln\left(1+2^x\right)}}$
limits
logarithms
limits-without-lhopital
Evaluating $\int_0^{\infty}\frac{\ln(x^2+1)}{x^2+1}dx$
complex-analysis
integration
logarithms
contour-integration
Demystify integration of $\int \frac{1}{x} \mathrm dx$
integration
logarithms
indefinite-integrals
How do you explain the concept of logarithm to a five year old?
soft-question
intuition
logarithms
education
Prove $\left(\frac{2}{5}\right)^{\frac{2}{5}}<\ln{2}$
inequality
logarithms
Does there exist a relationship between logarithms and the corresponding base number system?
logarithms
binary
Show that $\frac{\log_aN-\log_bN}{\log_bN-\log_cN}=\frac{\log_aN}{\log_cN}$
algebra-precalculus
logarithms
Find the values of $b$ for which the equation $2\log_{\frac{1}{25}}(bx+28)=-\log_5(12-4x-x^2)$ has only one solution
algebra-precalculus
functions
logarithms
quadratics
Intuition behind logarithm inequality: $1 - \frac1x \leq \log x \leq x-1$
inequality
logarithms
The deep reason why $\int \frac{1}{x}\operatorname{d}x$ is a transcendental function ($\log$) [duplicate]
calculus
real-analysis
logarithms
indefinite-integrals
Unexpected examples of natural logarithm
soft-question
logarithms
big-list
Why did my contour integration for $\int_0^{\pi/2}\frac{1}{1+\sin x}\,\mathrm{d}x$ fail?
integration
complex-analysis
logarithms
contour-integration
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