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Properties of Exponential and Logarithmic functions

Exponential and Logarithmic functions

An exponential function can be defined as function which has a constant base and that base is raised to a power (or exponent). These functions are increasing functions and can give huge numbers as the output. The simplest form of an exponential function is:

 Exponential functions: The simplest form of an exponential function is:

Logarithmic functions

Domain:all real numbers.

Examples:

  • f(x) = 3x
  • g(x) = (1/6)xExponential and Logarithmic functionsA logarithmic function is a function where a number under ‘log’ function has a base ‘b’, which when taken to the other side becomes the base for an exponential equation. The general form of a logarithmic function is shown below: Logarithmic functions: The general form of a logarithmic function is:

     

    Domain: (0, infinity)

    Exponential and Logarithmic functions

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