Natural Log Calculator

Your details

Choose what you want to calculate. Switch between forward ln, inverse e^y, arbitrary base, or growth/decay applications.
Must be greater than 0. The natural log of zero or a negative number is undefined for real values.
ln(x)Positive (x > 1)
2.302585
log₁₀(x)1
log₂(x)3.321928
e^x (verify inverse)22,026.465795

ln(10) is 2.302585, which is positive.

  • This means e raised to the power 2.302585 returns 10.
  • The natural log is negative for inputs between 0 and 1, zero at exactly x = 1, and positive above 1.
  • In base 10: log₁₀(10) = 1. In base 2: log₂(10) = 3.321928.
  • To verify: e^2.302585 = 10, which recovers your input.

Next stepSwitch to Inverse mode to find x when you already know ln(x).

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