Logarithm Calculator
Calculate logb(x), ln(x), log10(x), and log2(x)
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Result
log₁₀(1000)
3
10³ = 1000
Calculation Steps:
Frequently Asked Questions
A logarithm is the inverse function of exponentiation.
logb(x) = y means that by = x. For example, log10(1000) = 3 because 103 = 1000.
The natural logarithm is the logarithm to the base e (Euler's constant ≈ 2.71828). It is written as
ln(x) = loge(x).
To calculate a logarithm with any base b:
logb(x) = ln(x) / ln(b) = log10(x) / log10(b).