# EXP: Unleash the Power of e

Want to tap into the magic of exponential growth? Look no further than the `EXP`

command, your gateway to the mathematical constant *e* (approximately 2.71828)! This powerful function calculates *e* raised to any power you give it, unlocking a world of calculations involving natural logarithms, growth curves, and more. Think of it as your turbocharger for exponential calculations!

### Syntax

```
EXP(<exponent>)
```

Where:
- `<exponent>`

: The power to which you want to raise *e*. This can be any valid numeric expression.

### Applications

The `EXP`

command is your go-to tool when:

**Working with natural logarithms:**`EXP`

is the inverse of the`LOG`

function, so you can use them together to solve logarithmic equations.**Modeling growth or decay:**Exponential functions are used to describe phenomena like population growth, radioactive decay, or compound interest.**Simulating natural processes:**Many physical and biological systems exhibit exponential behavior, such as the charging of a capacitor or the spread of a disease.

### Code Examples

**1. Simple Exponential Calculation:**

```
10 X = 2
20 Y = EXP(X) :rem Y stores the value of e 2
30 PRINT Y :rem Output: approximately 7.389
```

This example demonstrates how to calculate *e* raised to the power of 2.

**2. Compound Interest Calculation:**

```
10 P = 1000 :rem Principal amount
20 R = 0.05 :rem Annual interest rate
30 T = 10 :rem Number of years
40 A = P * EXP(R*T) :rem A stores the final amount
50 PRINT "Final amount: "; A
```

Here, `EXP`

is used in the formula for compound interest to calculate the final amount after 10 years.

### EXP in the Wild: The Curve of Life

Exponential curves are everywhere you look! The growth of bacteria, the spread of a viral video, even the shape of a seashellâ€”all of these follow exponential patterns. With `EXP`

in your coding toolkit, you can model and understand these natural phenomena.

Don't let exponential calculations intimidate you! With the `EXP`

command, you can harness the power of *e* and unlock a world of mathematical possibilities. It's like having a scientific calculator built right into your Commodore 64. So embrace the magic of exponentials and let your code soar to new heights!