Log Calculator
Calculate logarithms with any positive base, including natural log, common log, and change-of-base steps.
Log Calculator
Use base 10 for common log, e for natural log, or any positive base other than 1.
Respuesta
3
- log_10(1000) = ln(1000) / ln(10)
- Check: 10^3 = 1000
Cómo usar la calculadora de Log
Use this log calculator when you need the exponent that turns a base into a value. It supports any valid positive base except 1, plus ln and log10 shortcuts.
- Enter the positive value inside the logarithm.
- Enter the base, or use e for natural log and 10 for common log.
- Review the decimal result and the change-of-base substitution.
Fórmula o método
log_b(x) = ln(x) / ln(b), where x > 0, b > 0, and b != 1.
Ejemplos resueltos
Common logarithm
Problema: log_10(1000)
Solución: 10^3 = 1000, so log_10(1000) = 3.
Base 2 logarithm
Problema: log_2(32)
Solución: 2^5 = 32, so log_2(32) = 5.
Errores comunes
- Trying to take the logarithm of zero or a negative number.
- Using base 1, which cannot produce a valid logarithm.