What is the meaning of the notation $\exp(\text{expression})$ ?
I think that it's something of the form $a^\text{expression}$ but does it mean that the base $a=e$ or can it be any base?
Exponentiation – Meaning of exp(?)
exponentiationnotation
exponentiationnotation
What is the meaning of the notation $\exp(\text{expression})$ ?
I think that it's something of the form $a^\text{expression}$ but does it mean that the base $a=e$ or can it be any base?
Best Answer
$\exp(x)=e^x$
Where $e$ is Euler's Number (approx. $2.718281828$).
This notation is common when $x$ is complicated and messy when put in the form $e^x$ (like large fractions or polynomials, for instance). Also, $\exp$ is the name of the $e^x$ function in many programming languages.
$e$ is a very important constant that appears in many fields of mathematics. The inverse of the $\exp(x)$ function is the natural logarithm (often written as $\log(x)$, $\ln(x)$ or $\log_e(x)$).