Exponential function calculator
Calculator for common operations related to exponential function.

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This online calculator is currently under heavy development. It may or it may NOT work correctly.
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Calculations data - enter values, that you know here

Function value (yy)
(the function value at single point x, often marked as f(x))
Value of exponent function (exp(x)exp(x))
Function argument (xx)
Base of the exponential function (aa)

Result: function value (yy)

Used formulaShow sourcey=ax y={ a}^{ x}
ResultShow source11
Numerical resultShow source11
Result step by step
1Show source11{1}^{1}Removed exponent by one
2Show source11Result
Numerical result step by step
1Show source11Result

Some facts

  • Exponential function is a function that can be presented in the form:
    y=ax y={ a}^{ x}
    • yy - function value (the function value at single point x, often marked as f(x)),
    • xx - function argument (called also independent value),
    • aa - base of the exponential function.
  • A special case is the exponential function of the base e (→ see the number e):
    exp(x)=ex exp(x)={ e}^{ x}
  • The exponential function with the base e is often denoted as exp (x), which we read as exponent of x.
  • The inverse function for the exponential one is logarithmic function. In particular for the function exp(x) (the base is number e) the inverse function is natural logarithm.
  • The exponential function has no zero poins. Its all values ​​are located above the OX axis (all function values are positive).
  • Depending on the base a, we can distinguish three scenarios:
    • base is less than one (a <1) - function is decreasing,
    • base is greater than one (a > 1) - the function is inreasing,
    • base is equal to zero (a = 0) - the function is reduced to constant function.

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