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Logarithm Calculator
Calculate log₁₀, ln, log₂, and custom base logarithms
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About Logarithm Calculator
Compute logarithms in any base with common identities, change-of-base formula, and antilog. Supports log₁₀, natural log (ln), log₂, and custom bases.
Step by Step
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Tips
- log₁₀ is used for decibels and pH scales
- ln (natural log) is essential in calculus and compound interest
- log₂ is fundamental in computer science (bits, binary search)
Frequently Asked Questions
What is a logarithm?
The inverse of exponentiation — log_b(x) asks 'what power of b gives x?' For example, log₂(8) = 3 because 2³ = 8.
Why is log(0) undefined?
No finite exponent can make a positive base equal zero. As x approaches 0, log(x) approaches negative infinity.