Antilog Calculator – Antilogarithm

An antilogarithm, or antilog, is the inverse function of a logarithm. If a logarithm answers the question "To what power must I raise the base to get this number?", the antilog takes that power and computes the resulting number. The mathematical relationship is defined by the formula: antilog_base(x) = base^x. When working with common logarithms, the base is typically 10, meaning antilog(x) evaluates to 10^x. For natural logarithms, the base is Euler's number (e), making the inverse function the exponential function e^x.

Suppose you need to find the common antilogarithm of 3, meaning the base is 10 and the exponent x is 3. Following the core equation, you set up the problem as 10³. Multiplying 10 by itself three times (10 × 10 × 10) yields a final result of 1,000. Therefore, the antilog₁₀ of 3 is 1,000.

Always verify the base of your logarithm before calculating the antilog; confusing a common log (base 10) with a natural log (base e) will lead to vastly different results. Additionally, pay close attention to the mantissa and characteristic when working with manual logarithm tables to ensure correct decimal placement in your final exponent.