How is $\mathrm{Log}(i^{i})=-i^{-1}\mathrm{Log}(-i)$
25788
Prove that $i^i$ is a real number
103987
What does the square root of minus $i$ equal?
48291
Proof that $\mathrm{ker}(f^*) = \mathrm{im}(f)^{\perp} $
18518
Proof of dilogarithm reflection formula $\zeta(2)-\log(x)\log(1-x)=\operatorname{Li}_2(x)+\operatorname{Li}_2(1-x)$
136185
How $a^{\log_b x} = x^{\log_b a}$?
50655
Proof of $f^{-1}(B_{1}\setminus B_{2}) = f^{-1}(B_{1})\setminus f^{-1}(B_{2})$
27790
Evaluating $\int_0^{\large\frac{\pi}{4}} \log\left( \cos x\right) \, \mathrm{d}x $
121310
Integral $\int_0^1 \log \left(\Gamma\left(x+\alpha\right)\right)\,{\rm d}x=\frac{\log\left( 2 \pi\right)}{2}+\alpha \log\left(\alpha\right) -\alpha$
145521
Why does $\arctan(x)= \frac{1}{2i}\log \left( \frac{x-i}{x+i}\right)+k$?
15110
About irrational logarithms
39747
Showing that $\lim_{x\to 0} x\log{x}= 0$ without using L'Hopital's rule
109674
If $(I-T)^{-1}$ exists, can it always be written in a series representation?
6650
Why $\sqrt{-1 \times -1} \neq \sqrt{-1}^2$?
121767
Why $\det(A^{-1}) = 1/\det(A)$?
57611
How does Knuth's algorithm for calculating logarithm work?
66902
Prove that $\int_{-\infty}^{\infty} \frac{e^{2x}-e^x}{x (1+e^{2x})(1+e^{x})}\mathrm{d}x=\log 2$
30459
Evaluate $\int^1_0 \log^2(1-x) \log^2(x) \, dx$