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Antilog Calculator | Get antilog for base 10, e or custom

Find the antilog of any logarithm — base 10, natural or custom — returning the original number with the exponent form shown. Useful for reversing log-scale work in pH, decibels, chemistry and exponential growth problems.

Last updated: June 2026 · Free · No sign-up required

Results

Enter values above and click Calculate to see your result instantly.

Quick reference

antilog (10^x)Result
10^01
10^110
10^2100
10^2.3010≈ 200
10^-10.1

functions Shows the working, not just the answer

For students and teachers, the final number is only half the value. Every math tool here exposes the formula it applied, the intermediate steps, and the rounding rule, so you can follow along, check your homework, or use the answer in a proof or report with confidence.

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Calculations use 64-bit floating point with sensible rounding for the domain (currency to 2 decimals, percentages to 4 decimals, algebra to 6 significant figures). Where exact rational arithmetic matters — fractions, factorials, simplification — we use a dedicated BigNumber path so 1/3 + 1/6 returns ½, not 0.49999.

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Below the calculator we link a small set of plain-English explainer pages — "What is a percentage?", "Why does PEMDAS matter?", and so on. They cover the underlying concept in 4–6 short paragraphs. Read those before the calculator if the topic is new, or after if you want the extra context.

Interpretation guide

Baseantilog of x
10 (common)10^x
e (natural)e^x = exp(x)
2 (binary)2^x
any bb^x

lightbulb Worked example

Let's say you are using the Antilog Calculator. Computes the antilogarithm (inverse logarithm) of a number in any base. Enter a logarithm value and choose base 10, natural base e, or a custom base, and the tool returns the original number using Enter the values that match your situation into the input fields and press calculate — using realistic numbers makes the result directly useful for you.

Result: The calculator instantly applies the formula antilog_b(x) = b^x; common antilog = 10^x; natural antilog = e^x and returns the result with appropriate precision.

What this means: Read the result in the context of what you are measuring. The step-by-step breakdown lets you confirm the math and understand which input most affects the outcome.

Formula & methodology

Formula: antilog_b(x) = b^x; common antilog = 10^x; natural antilog = e^x

The Antilog Calculator is built on a well-established calculation method. It uses the formula antilog_b(x) = b^x; common antilog = 10^x; natural antilog = e^x to turn your inputs into a reliable result. Computes the antilogarithm (inverse logarithm) of a number in any base. Enter a logarithm value and choose base 10, natural base e, or a custom base, and the tool returns the original number using the formula The steps are shown on the page so you can follow the reasoning from input to output.

How antilog works

The antilogarithm reverses a logarithm. If log_b(y) = x, then the antilog of x is y = b^x. It simply raises the base to the power of your number.

Example

Find the common antilog of 2.3010. antilog = 10^2.3010 ≈ 200. This checks out because log10(200) ≈ 2.3010.

The "common" antilog uses base 10 and the "natural" antilog uses base e (the exp function). Always match the base to the logarithm you are inverting.

Authoritative source: Wolfram MathWorld

Frequently asked questions

What is an antilog?
The antilog (antilogarithm) is the inverse of a logarithm. If log_b(y) = x, then the antilog of x in base b is y = b^x. In other words, taking the antilog undoes the log: it raises the base to the power of your value. The common antilog uses base 10, so antilog(x) = 10^x.
How do you calculate antilog?
Raise the base to the power of the number. For the common (base-10) antilog of 3, compute 10^3 = 1,000. For the natural antilog of 1, compute e^1 = 2.718. On a calculator, the antilog button is usually 10^x (the shift of the log key) or e^x (shift of ln).
What is the difference between common and natural antilog?
The common antilog uses base 10: antilog(x) = 10^x, and it inverts log10. The natural antilog uses base e ≈ 2.71828: antilog(x) = e^x = exp(x), and it inverts ln. Use whichever base matches the logarithm you are reversing; mixing them gives wrong results.
What is the antilog of 2?
The antilog is the inverse of the logarithm: for base 10, antilog of 2 means 10² = 100. For the natural base e, antilog of 2 is e² ≈ 7.389. In general, antilog_b(x) = b^x. Choose the same base as the logarithm you started with, and the calculator returns the original number, which is useful in pH, decibel, and exponential-growth work.
Where are antilogs used?
Antilogs convert logarithmic scales back to linear values. They appear in decibels (sound), pH (chemistry), the Richter scale (earthquakes), and anywhere data is stored or computed in log form and then needs to be read as an ordinary number. Before electronic calculators, antilog tables were used alongside log tables for multiplication.
What does the Antilog Calculator do?
Computes the antilogarithm (inverse logarithm) of a number in any base. Enter a logarithm value and choose base 10, natural base e, or a custom base, and the tool returns the original number using the formula antilog_b(x) = b^x, with the working shown step by. The calculator takes your inputs, applies the standard calculation, and returns a clear result so you can make an informed decision without doing the math by hand.
What formula does the Antilog Calculator use?
The Antilog Calculator applies the standard formula: antilog_b(x) = b^x; common antilog = 10^x; natural antilog = e^x. The tool walks through each step of the calculation so you can verify the numbers yourself.
Is the Antilog Calculator free and private?
Yes — the Antilog Calculator. There is no sign-up, no paywall, no trial, and no limit on how many calculations you can run. CalcaTools covers its costs with non-intrusive display advertising, so the calculator itself never asks for payment or restricts any feature.
How accurate is the Antilog Calculator?
The Antilog Calculator applies the standard formula: antilog_b(x) = b^x; common antilog = 10^x; natural antilog = e^x. It is tested against published worked examples before launch and uses native double-precision arithmetic, so results are accurate to typical precision for the values you enter — with no intermediate rounding that could distort the answer.

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