Algebra/Natural Logarithms and e

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Algebra
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A special form of logarithms, called natural logarithms, use a constant number known as e, which is approximately 2.718. Like pi, this number appears in many real-life situations, and will be used from algebra through calculus. For now, think of it as

e = \frac{1}{0!} + \frac{1}{1!} + \frac{1}{2!} + \frac{1}{3!} + \frac{1}{4!} + \cdots

The exclamation point stands for the factorial of the number.

[edit] Compound Interest

Interest earned on a savings account usually compounds, meaning that if you put $100 in an account that compounds at 5% yearly, after one year you would get $100 * 1.05 = $105, but next year you would get $105 * 1.05 = $110.25. Although 25 cents seems trivial, when millions of dollars are invested, this adds up.

How about if 5% yearly interest were compounded monthly? Weekly? Daily? Continuously? It turns out that 5% interest on a continuously compounding investment of $100 makes 100 * ex dollars, where x is the number of years passed. If you continue learning math until Calculus, you will eventually see more characteristics of e.