Calculator for common operations related to exponential function.

Beta version#

BETA TEST VERSION OF THIS ITEM
This online calculator is currently under heavy development. It may or it may NOT work correctly.
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However, please VERIFY all results on your own, as the level of completion of this item is NOT CONFIRMED.
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Symbolic algebra

ⓘ Hint: This calculator supports symbolic math. You can enter numbers, but also symbols like a, b, pi or even whole math expressions such as (a+b)/2. If you still don't sure how to make your life easier using symbolic algebra check out our another page: Symbolic calculations

What do you want to calculate today?#

Choose a scenario that best fits your needs

I know function argument (

x

) and base of the exponential function (

a

) and want to calculate function value (

y

)I know function argument (

x

) and want to calculate value of exponent function (

exp(x)

)

Calculations data - enter values, that you know here#

Function value ( $y$ ) (the function value at single point x, often marked as f(x))		=>
Value of exponent function ( $exp(x)$ )		=>
Function argument ( $x$ )		<=
Base of the exponential function ( $a$ )		<=

Result: function value ( $y$ )#

Summary

Used formula

Show source

y=a^{x}

Result

Show source

1

Numerical result

Show source

1

Result step by step

1	Show source $1^{1}$	Removed exponent by one	Any number raised to the exponent one (1) gives te same number: $a^1 = a$
2	Show source $1$	Result	Your expression reduced to the simplest form known to us.

Numerical result step by step

1	Show source $1$	The original expression	-
2	Show source $1$	Result	Your expression reduced to the simplest form known to us.

Some facts#

Exponential function is a function that can be presented in the form:

$y=a^{x}$
where:
- $y$ - function value (the function value at single point x, often marked as f(x)),
- $x$ - function argument (called also independent value),
- $a$ - base of the exponential function.
A special case is the exponential function of the base e (→ see the number e):

$exp(x)=e^{x}$
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.