Logarithm Calculator
Understanding Logarithms
A logarithm answers the question: "What exponent do we need to raise a specific number (the base) to, in order to get another number?"
Important: Logarithms are only defined for positive numbers.
1. Common Logarithm (log₁₀)
This uses a base of 10. It asks, "10 to what power gives us the number?"
$$ y = \log_{10}(x) \quad \iff \quad 10^y = x $$
2. Natural Logarithm (ln)
This uses the mathematical constant 'e' as its base (where e ≈ 2.71828). It asks, "e to what power gives us the number?"
$$ y = \ln(x) \quad \iff \quad e^y = x $$
Calculate common and natural logarithms.
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