TOPICS
Search

Logarithm

Explore Logarithm on MathWorld


The logarithm is the power to which a number (called the base) must be raised to produce a given number. For example, the logarithm of 100 with respect to the base 10 is 2.

Logarithm is a high school-level concept that would be first encountered in a pre-calculus course covering exponents and logarithms. It is listed in the California State Standards for Algebra II.

Examples

Natural Logarithm: The natural logarithm is the logarithm having base e.

Prerequisites

Exponential Function: The exponential function is the function consisting of the base of the natural logarithm e taken to the power of a given variable.
Power: In arithmetic, a power is an exponent to which a given quantity is raised.

Classroom Articles on Exponents and Logarithms

  • e

  • Classroom Articles on Pre-Calculus (Up to High School Level)

  • Asymptote
  • Normal Vector
  • Complex Conjugate
  • Parabola
  • Complex Number
  • Parametric Equations
  • Complex Plane
  • Plane
  • Conic Section
  • Plane Curve
  • Cross Product
  • Polar Coordinates
  • Curve
  • Range
  • Determinant
  • Rational Function
  • Domain
  • Reflection
  • Dot Product
  • Rotation
  • Ellipse
  • Rotation Matrix
  • Function
  • Scalar
  • Hyperbola
  • Spherical Coordinates
  • i
  • Tangent Line
  • Imaginary Number
  • Translation
  • Inverse Function
  • Vector
  • Locus