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Logarithms und exponentials reference

Logarithm rules, natural und common logarithms, und exponential function Eigenschaften.

logarithmsreference

Overview

Engineering reference data for Logarithms and Exponentials Reference in mathematics.

Key Formulas

Quadratic Formula

x=b±b24ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

Roots of ax² + bx + c = 0.

Pythagorean Theorem

c2=a2+b2c^2 = a^2 + b^2

Right triangle relationship.

Circle Area

A=πr2A = \pi r^2

Area of a circle.

Logarithm

logb(x)=ln(x)ln(b)\log_b(x) = \frac{\ln(x)}{\ln(b)}

Change of base formula.

Variables

SymbolDescriptionUnit
π\piPi3.14159...
eeEuler's number2.71828...

References