Newbetuts

Prove that: $\lfloor n^{1/2}\rfloor+\cdots+\lfloor n^{1/n}\rfloor=\lfloor \log_2n\rfloor +\cdots+\lfloor \log_nn \rfloor$, for $n > 1$

Smallest Possible Power

$x^3-3x-3=0$, prove that $10^x<127$

How can I solve for $n$ in the equation $n \log n = C$?

A closed form for $\int_{0}^{\pi/2}\frac{\ln\cos x}{x}\mathrm{d}x$?

Inverse function of $\operatorname{li}(x)$ over $x>\mu$?

Approximation of $\log(x)$ as a linear combination of $\log(2)$ and $\log(3)$

Prove $\int_0^1 \frac{\tanh^{-1} (\beta t) dt}{t\sqrt{(1-t)(1- \alpha t)}}=\log (a) \log (b)$

Why is $\log_{-2}{4}$ complex?

Can $\lim_{h\to 0}\frac{b^h - 1}{h}$ be solved without circular reasoning?

Exponentiating expression containing ln(abs(x))

How do I find the base when Log is given

Log of a negative number

Prove that $\int_0^1 \frac{1}{1+\ln^2 x}\,dx = \int_1^\infty \frac{\sin(x-1)}{x}\,dx $

Intuition behind logarithm change of base

New posts in logarithms

How to prove $\sqrt[\pi]{e} < \sqrt[\pi]{\pi}<\sqrt[e]{e}< \sqrt[e]{\pi}$

A closed form for $\int_0^1 \frac{\left(\log (1+x)\right)^3}{x}dx$?

Find $x$ from $3^x\cdot x^3 = 1$

$\log_9 71$ or $\log_8 61$

Approximate the logarithm of any base [duplicate]

Prove that: $\lfloor n^{1/2}\rfloor+\cdots+\lfloor n^{1/n}\rfloor=\lfloor \log_2n\rfloor +\cdots+\lfloor \log_nn \rfloor$, for $n > 1$

Smallest Possible Power

$x^3-3x-3=0$, prove that $10^x<127$

How can I solve for $n$ in the equation $n \log n = C$?

A closed form for $\int_{0}^{\pi/2}\frac{\ln\cos x}{x}\mathrm{d}x$?

Inverse function of $\operatorname{li}(x)$ over $x>\mu$?

Approximation of $\log(x)$ as a linear combination of $\log(2)$ and $\log(3)$

Prove $\int_0^1 \frac{\tanh^{-1} (\beta t) dt}{t\sqrt{(1-t)(1- \alpha t)}}=\log (a) \log (b)$

Why is $\log_{-2}{4}$ complex?

Can $\lim_{h\to 0}\frac{b^h - 1}{h}$ be solved without circular reasoning?

Exponentiating expression containing ln(abs(x))

How do I find the base when Log is given

Log of a negative number

Prove that $\int_0^1 \frac{1}{1+\ln^2 x}\,dx = \int_1^\infty \frac{\sin(x-1)}{x}\,dx $

Intuition behind logarithm change of base