Logarithms

Solve logarithms and explore the log curve interactively

log₁₀(100) = 2
Result
2
-3-2-1012345(100, 2)y = log₁₀(x)x

About this calculator

The Logarithm Calculator solves for the result, argument, or base of any logarithm. Supports natural log (ln), log base 10, and any custom base. Enter two known values to instantly find the third — ideal for students, scientists, and engineers working with exponential growth, decibels, or pH.

Common examples

  • log₂(8) = 3, because 2³ = 8
  • log₁₀(1,000) = 3, because 10³ = 1,000
  • ln(e²) = 2, because e² = e²
  • log₅(125) = 3, because 5³ = 125
  • log base 4 of 64 = 3, because 4³ = 64