Exponential Form Calculator
Convert an integer to exponential form or from logarithm form to exponential form using our exponential form calculator.
f(x)7.38905609891 × 2.718282^2
eˣ7.3890560989
2ˣ4
10ˣ100
Doubling x gives54.5981500331squares the growth factor
Natural log of the result2
The rule
f(x) = a·bˣ, or eˣ for the natural exponential
Why e is the natural base
eˣ is the one exponential whose rate of change equals its own value — its derivative is itself. That makes it the natural choice wherever growth is proportional to the current amount: compound interest, radioactive decay, population models and cooling curves all reduce to it.
e ≈ 2.718281828459045, and it is both irrational and transcendental.