Algebra

Quadratic equation:

The solutions of $ax^{2}+bx+c=0$

are $x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$

Logarithms and exponentials:

$\begin{align*} ln(ab) &= ln a+ ln b \\ln(ab) &= ln a+ ln b \\e^{a+b}&=e^{a}e^{b} \\Ine^{x}&=e^{Inx}=x \\In^{a^{b}}&=bIna \end{align*}$

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