Logarithm Calculator

Calculate logarithms with any base including natural logarithm (ln), common logarithm (log₁₀), and binary logarithm (log₂).

Logarithm Calculator
Calculate logarithms and antilogs in different bases

Logarithm Properties

Basic Properties:

  • • log_b(xy) = log_b(x) + log_b(y)
  • • log_b(x/y) = log_b(x) - log_b(y)
  • • log_b(x^n) = n × log_b(x)
  • • log_b(b) = 1
  • • log_b(1) = 0

Common Logarithms:

  • • Natural log (ln): base e ≈ 2.718
  • • Common log: base 10
  • • Binary log: base 2

Applications:

  • • Scientific calculations
  • • Engineering problems
  • • Financial modeling
  • • Computer science algorithms