Enter a logarithm value and a base to find the antilogarithm (inverse log). The Antilog Calculator raises your chosen base to the power of the log value — giving you back the original number. Supports base 10, natural log (base e), and any custom base you specify.
Antilog Result (x = b^y)
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Base Used
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Log Value Used (y)
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Formula Applied
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An antilogarithm (antilog) is the inverse of a logarithm. If log_b(x) = y, then the antilog of y with base b equals x, calculated as x = b^y. It essentially reverses the log operation to recover the original number.
To find the antilog, raise the base to the power of the logarithm value. The formula is x = b^y, where b is the base and y is the log value. For example, the antilog of 2 in base 10 is 10^2 = 100.
The antilog of 3 in base 10 is 10^3 = 1000. This means that log₁₀(1000) = 3, and reversing that operation gives you 1000.
The natural antilog uses Euler's number e (≈ 2.71828) as the base. It is equivalent to the exponential function e^y. For example, the natural antilog of 1 is e^1 ≈ 2.71828.
The antilog₁₀(100) = 10^100, which is an astronomically large number known as a googol. This illustrates how rapidly antilog values grow as the log value increases.
No. The base of a logarithm or antilogarithm must be a positive number and cannot equal 1. Negative bases and a base of zero are undefined in standard logarithm rules. If no base is specified, base 10 is used by convention.
To remove a logarithm from an equation, apply the antilog to both sides. If log_b(x) = y, then taking the antilog gives x = b^y. This is the fundamental relationship that allows you to switch between logarithmic and exponential forms.
The antilog (or exponential) function x = b^y is a rapidly increasing curve for b > 1, passes through the point (0, 1), and is always positive. It is the mirror image of the log function reflected across the line y = x.