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Logarithmic Functions

Definition

Logarithmic functions are the inverse of exponential functions. They help us solve for exponents by finding what power we need to raise a base to get a certain value.

Analogy

Think of logarithms as treasure maps. You know where you want to end up (the value), but you need to use the map (logarithm) to find out which path (exponent) will lead you there.

Related terms

Base: The base of a logarithmic function is the number being raised to a certain power.

Common Logarithm: The common logarithm uses base 10 and is written as log(x).

Natural Logarithm: The natural logarithm uses base e (approximately 2.71828) and is written as ln(x).

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AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.