User:Qalle2

Tämän käyttäjän äidinkieli on suomi.

This user can contribute with an advanced level of English.

Dieser Benutzer hat grundlegende Deutschkenntnisse.

Den här användaren har grundläggande kunskaper i svenska.

I'm Kalle from Finland.

Math notes

I use these when editing Wikipedia.

$a^{b+c}=a^{b}a^{c}$

$a^{b-c}={\frac {a^{b}}{a^{c}}}$

$a^{-b}={\frac {1}{a^{b}}}$

$(ab)^{c}=a^{c}b^{c}$

$\left({\frac {a}{b}}\right)^{c}={\frac {a^{c}}{b^{c}}}$

$(a^{b})^{c}=a^{bc}$

$a={\sqrt[{b}]{c}}\ \Leftrightarrow \ a^{b}=c$

${\sqrt[{b}]{a}}=a^{\frac {1}{b}}$

$b=\log _{a}c\ \Leftrightarrow \ a^{b}=c$

$\log ab=\log a+\log b$

$\log {\frac {a}{b}}=\log a-\log b$

$\log a^{b}=b\cdot \log a$

$\log {\sqrt[{b}]{a}}={\frac {\log a}{b}}$

$\log _{b}a={\frac {\log a}{\log b}}$

For $ax^{2}+bx+c=0$ : $x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}$

Common expressions (see page source):