# exp

Learn how to use the exp function in Notion formulas.

The

`exp()`

function allows you to raise Euler’s Number $e$

(the base of the natural logarithm) to a higher power and get the output, where the argument is the exponent:$e^n = m$

1

exp(number)

$e$

approximately equals `2.718281828459045`

.Viewed another way, the

`exp()`

function helps you find the *argument*(mathematical term) in a natural logarithm.In other words,

`exp()`

accepts $x$

as an argument (programming term) and returns $y$

, where:$\log_e y = x$

For reference, here are the named components of a logarithm:

$\log_{base} argument = exponent$

Learn more about natural logarithms here:

1

exp(2) // Output: 7.389056098931

2

3

exp(5) // Output: 148.413159102577

4

e^5 // Output: 148.413159102577

5

6

exp(ln(5)) // Output: 5

7

ln(exp(5)) // Output 5

Using

`exp()`

, we can write a Notion formula that models continuous growth of a starting population by a certain percentage each year over a certain number of years.This example is also used in the article on Euler’s Constant (e); its use here demonstrates how

`exp(n)`

is equivalent to `e^n`

.// Compressed

prop("Starting Num") * exp(prop("Growth Rate") * prop("Periods"))

// Expanded

prop("Starting Num") *

exp(

prop("Growth Rate") *

prop("Periods")

)

As stated in the Euler’s Constant (e) article, continuous growth of a starting number

$n$

can be expressed as:$n * e^{(rate \ of \ growth \ * \ number \ of \ time \ periods)}$

Here, we simply use the

`exp()`

function, passing `prop("Growth Rate") * prop("Periods")`

as the argument. We then multiply it by our starting number, passed via

`prop("Starting Num")`

. My name is Thomas Frank, and I'm a Notion-certified writer, YouTuber, and template creator. I've been using Notion since 2018 to organize my personal life and to run my business and YouTube channel. In addition to this formula reference, I've created a free Notion course for beginners and several productivity-focused Notion templates. If you'd like to connect, follow me on Twitter.

Last modified 4mo ago