Log Calculator

Compute logarithms with any base — also shows the anti-log (exponentiation)

logbase(number)

About the Log Calculator

This logarithm calculator computes logb(x) for any base b. It supports common bases (10, e, 2) and custom bases. The anti-log (b^result) is also shown, confirming the result. Logarithms are the inverse operation of exponentiation.

The Formula

logb(x) = y   where   bʸ = x   (change of base: logb(x) = ln(x) / ln(b))

Frequently Asked Questions

What is the difference between log and ln?

log (common logarithm) uses base 10. ln (natural logarithm) uses base e (≈ 2.71828). log₂ uses base 2. All follow the same principle: the exponent needed to reach a number from the base. Use ln for calculus and natural growth problems.

What is an anti-log?

The anti-log is the inverse operation of a logarithm. If logb(x) = y, then the anti-log is bʸ = x. For example, if log₁₀(100) = 2, then anti-log₁₀(2) = 10² = 100. It is simply exponentiation with the same base.