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:

`exp(number)`

\(e\) approximately equals `2.718281828459045`

.

**Good to know:** `exp(n)`

is equivalent to `e^n`

. See e (Constant) for more.

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:

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

\(\log_{base} argument = exponent\)Learn more about natural logarithms here:

## Example Formulas

```
exp(2) // Output: 7.389056098931
exp(5) // Output: 148.413159102577
e^5 // Output: 148.413159102577
exp(ln(5)) // Output: 5
ln(exp(5)) // Output 5
```

## xample Database

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`

.

### View and Duplicate Database

### “End Num” Property Formula

```
// 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")`

.