# e Power x Calculator

URL: https://speedycalculator.com/calculators/math/e-power-x/
Last updated: 2026-10-30

> The e power x calculator evaluates the exponential function eˣ for any x, and finds x from a given value of eˣ.

## Inputs

- Exponent x

## Results

- eˣ
- e⁻ˣ
- log₁₀(eˣ)

## Formula

```
eˣ = Σ xᵏ/k!,  e ≈ 2.718281828459045
```

## Explanation

The exponential function eˣ is the unique function equal to its own derivative. It describes continuous compound growth, radioactive decay, population models, the normal distribution and the charging of capacitors.

### How to use the e Power x Calculator

- **Exponent x**
- Every result field is editable: type into **eˣ** and **Exponent x** plus every other field update to match.

Results update as you type, and everything is calculated in your browser.

### How it works

Enter x, or type into the eˣ field to find x = ln(value).

### What each result means

- **eˣ** = exp([Exponent x])
- **e⁻ˣ** = exp(-[Exponent x])
- **log₁₀(eˣ)** = [Exponent x]÷ln(10)

### Example values

How the main result changes when **Exponent x** changes and everything else stays at the example values above:

Exponent xeˣ12.71831.54.481727.38912.512.1825320.0855454.5982

## Worked example

Inputs — Exponent x: 2.

Results — **eˣ = 7.389056098931**; e⁻ˣ = 0.135335283237; log₁₀(eˣ) = 0.868588963807.

## Key terms

- **Exponential function**: f(x) = eˣ.

## FAQ

**What is e?**
Euler's number, ≈ 2.71828, the base of natural growth.

**What is e⁰?**
1.

**Is eˣ ever negative?**
No – it is positive for every real x.

**How is eˣ related to compound interest?**
(1 + r/n)ⁿᵗ → eʳᵗ as compounding becomes continuous.


## Sources

- [OpenStax – College Algebra 2e](https://openstax.org/details/books/college-algebra-2e)
- [OpenStax – Precalculus 2e](https://openstax.org/details/books/precalculus-2e)
- [Wolfram MathWorld – Exponential function](https://mathworld.wolfram.com/ExponentialFunction.html)