Logarithm Calculator
Results
log10(x) - Common
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ln(x) - Natural
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log2(x) - Binary
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logn(x) - Custom Base
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Antilogarithm (Inverse)
Antilog Result
base^exponent
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e^y (natural antilog)
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What is a Logarithm?
A logarithm answers the question: "To what power must the base be raised to get a given number?" If b^y = x, then log_b(x) = y. For example, log10(100) = 2 because 10^2 = 100.
Types of Logarithms
- Common logarithm (log10) - Base 10, used in science and engineering
- Natural logarithm (ln) - Base e (2.71828...), fundamental in calculus
- Binary logarithm (log2) - Base 2, used in computer science
Change of Base Formula
log_b(x) = ln(x) / ln(b) = log10(x) / log10(b). This formula allows computing logarithms with any base using natural or common logarithms.