Logarithm

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Trigonometric functions
Hyperbolic functions
Logarithm
Conics
Vector

Derivative
Integral
Series
Ordinary differential equation

Definition

$$\forall \, x > 0 : \ln x = \int_1^x \frac{1}{t} \, dt$$

Identities

$$\begin{array}{l} \log_a 1 = 0 \\[4pt] \log_a a = 1 \\[4pt] \log_a x^m = m \log_a x \\[4pt] \log_a xy = \log_a x + \log_a y \end{array}$$