Calculadora de Logaritmos Gratis
Calcule o logaritmo de um numero em qualquer base. Inclui logaritmo natural (ln) e logaritmo na base 10.
Log10 Val
2.000000
Ln Val4.605170
Formula
How Logarithms Work
Definition
log_b(x) = y means b^y = x
The logarithm answers: "To what power must I raise the base to get this number?"
Common Types
Change of Base Formula
log_b(x) = ln(x) / ln(b)
Exemplo Resolvido
Calculate the logarithms of 100.
- 01log₁₀(100) = 2 (because 10² = 100)
- 02ln(100) ≈ 4.605170
- 03log₂(100) = ln(100)/ln(2) ≈ 6.643856
Perguntas Frequentes
What is a logarithm?
A logarithm is the inverse of exponentiation. log_b(x) answers the question: what power of b gives x?
What is the difference between log and ln?
log (or log₁₀) uses base 10 and is common in science and engineering. ln uses base e (≈2.718) and is the natural logarithm used in calculus.
Can you take the log of a negative number?
Not in the real number system. Logarithms are only defined for positive real numbers. The complex logarithm extends this to negative numbers.
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