The antilog is the inverse of a logarithm: if log_b(y) = x, then antilog_b(x) = b^x = y. It 'undoes' a logarithm and returns the original value the logarithm was taken of.

What is the antilog formula?

antilog_b(x) = b^x, where b is the base and x is the logarithm value you're inverting.

What is a base-10 (common) antilog?

The base-10 antilog of x is simply 10^x — the inverse of the common logarithm (log₁₀). It's the default base most calculators use when 'antilog' is mentioned without qualification.

What is a natural (base e) antilog?

The natural antilog of x is eˣ — the inverse of the natural logarithm (ln). It's used whenever the original logarithm was taken in base e rather than base 10.

Can the base be any positive number?

Yes, any positive base other than 1 works (base 1 is excluded since 1 raised to any power is always 1, making the antilog undefined as an inverse).

Can the logarithm value (exponent) be negative?

Yes — a negative logarithm value simply produces an antilog result between 0 and 1, since b^(−x) = 1/bˣ for any base b > 1.

How is this different from the Exponents Calculator?

They compute the same underlying operation (b^x), but this calculator is framed specifically around reversing a logarithm — with base-10 and base-e presets front and center, matching how 'antilog' problems are typically posed.

Where is the antilog used in real life?

It's used to convert pH values back to hydrogen ion concentration, decibel levels back to raw amplitude ratios, and log-transformed data back to its original scale in statistics and engineering.

Antilog Calculator — Find the Inverse Logarithm for Any Base

Our Antilog Calculator computes the antilogarithm — the inverse operation of taking a logarithm — for any base. Given a logarithm value and a base b, it computes antilog_b(value) = b^value, supporting the common base-10 antilog, the natural (base e) antilog, and any custom base you specify.

Quick Answer

The antilog reverses a logarithm: antilog_b(x) = b^x. Enter a logarithm value and choose base 10, base e, or a custom base to instantly get the original value the logarithm was taken of.

Logarithm value

Base

Enter a value and base, then click Calculate.

How to Use the Antilog Calculator — Inverse Logarithm Online

1
Enter the logarithm value.
2
Choose a base — 10, e, or a custom value — or type your own base directly.
3
Click 'Calculate' to get the antilog (base^value).

Why Use Antilog Calculator — Inverse Logarithm Online?

The antilogarithm reverses a logarithm: if log_b(y) = x, then the antilog of x (base b) recovers y = b^x. This shows up constantly whenever a logarithmic result needs to be converted back to its original scale — undoing a pH calculation, converting a decibel level back to a raw ratio, or reversing a log-transformed statistical value. This calculator handles the common bases (10 and e) as one-click presets alongside any custom base you need.

Frequently Asked Questions

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