Calculate antilogarithms (inverse logs) with any base. Supports common antilog (base 10), natural antilog (base e), binary antilog (base 2), and custom bases. Instant results with step-by-step explanations.
This antilogarithm calculator computes the inverse of logarithms with any base. The antilog (or inverse log) of x with base b is calculated as b^x. It supports common antilog (base 10), natural antilog (base e), and any custom base. All calculations happen in your browser — no data is sent to any server.
An antilogarithm (or inverse logarithm) is the inverse operation of a logarithm. If log_b(y) = x, then antilog_b(x) = y = b^x. In other words, the antilog raises the base to the power of the given log value to obtain the original number.
The natural antilog uses the mathematical constant e (approximately 2.71828) as its base. It is calculated as e^x, where x is the natural logarithm value. The natural antilog is widely used in mathematics, physics, and engineering.
To calculate the antilog of x with base b, use the formula: antilog_b(x) = b^x. For example, antilog₁₀(2) = 10² = 100. For natural antilog, antilog_e(2) = e² ≈ 7.389.
The three main antilogarithmic properties are: (1) Product: antilog(a) × antilog(b) = antilog(a + b); (2) Quotient: antilog(a) ÷ antilog(b) = antilog(a - b); (3) Power: [antilog(a)]ⁿ = antilog(n × a). These are derived from the corresponding logarithmic properties.