Base 10
\(\log_{10}(100) = 2\) because \(10^2 = 100\)
対数計算機
常用対数、自然対数、カスタム底を含む任意の底で対数を計算
結果
値を入力して計算をクリックして結果を表示してください。
Theory & Formula
A logarithm answers the question: "To what power must we raise the base to get this number?"
If by = x, then logb(x) = y
- Common log: log₁₀(x) (base 10)
- Natural log: ln(x) = loge(x) (base e ≈ 2.71828)
- Binary log: log₂(x) (base 2, used in computer science)
- Domain: x must be positive (x > 0)
- Change of base: logb(x) = logc(x) / logc(b)
\(\log_a(x) = \frac{\ln(x)}{\ln(a)}\)
Worked Examples
Base 2
\(\log_2(8) = 3\) because \(2^3 = 8\)
Natural Log
\(\ln(e^2) = 2\) because \(e^2 = e^2\)