Exponential Equation

An Exponential Equation is a mathematical equation ([math]\displaystyle{ A = B }[/math]) where [math]\displaystyle{ A }[/math] and/or [math]\displaystyle{ B }[/math] are exponential functions.

• Context:
  • It can be represented by [math]\displaystyle{ a^x=b }[/math] where [math]\displaystyle{ x }[/math] is a variable, a and b are constants.
  • It can be an input to an Exponential Equation Solving Task.
  • It can be a member of a Exponential Equation System.
  • It can range from being a Univariate Exponential Equation, a Bivarite Exponential Equation, a Trivariate Exponential Equation, ..., depending on the number of variables.
• Example(s):
  • [math]\displaystyle{ 3^x = 1 }[/math].
  • [math]\displaystyle{ 6^x = 36 }[/math].
  • [math]\displaystyle{ 6^{5+x} = 6^3 }[/math].
  • …
• Counter-Example(s):
  • a Polynomial Equation.
• See: Differential Equation, Rational Number, Function Variable, Algebraic Expression, Algebraic Solution, Root-Finding Algorithm, Degree of a Polynomial.

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References

2015

• http://en.wikipedia.org/wiki/Exponential_function

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