Antilog Calculator
Compute an antilogarithm as base raised to an exponent — the inverse of a logarithm — with the result in standard and scientific notation plus a logarithm check that verifies the answer.
Input
Must be greater than 0 and not equal to 1.
Output
| Metric | Value |
|---|---|
| No data yet | |
Guides
The Antilog Calculator computes an antilogarithm — base^exponent — which is the inverse operation of a logarithm. Enter a base and an exponent and it instantly returns the result in standard notation, in scientific notation, and with a logarithm check that verifies the answer.
It's built for students working through logarithm and exponent problems, anyone who needs to reverse a log_base(x) = exponent equation back to x, and for checking homework or calculator-app results against a clear, worked answer.
How to use it
- Enter the Base. It must be greater than 0 and not equal to 1.
- Enter the Exponent. It can be any real number — positive, negative, or fractional.
- Read the Result table: the formula with your values substituted in, the result, its scientific-notation form, and a logarithm-check line proving the answer.
Results update automatically as you type. For example, entering base = 10, exponent = 2 returns 100, since 10² = 100.
What is an antilogarithm?
If log_base(x) = exponent, then x is the antilogarithm of exponent with that base — the value you get by raising the base to the exponent's power. It's the operation you use to "undo" a logarithm: given a logarithm's answer, the antilog finds the original number.
What does the logarithm check verify?
The tool computes log_base(result) and confirms it equals the exponent you entered — since log_base(base^exponent) = exponent is true by definition, this line is a direct proof that the antilog result is correct, not just a restated input.
Why must the base be greater than 0 and not equal to 1?
Logarithms (and their inverse, antilogarithms) are only defined for a positive base other than 1: base ≤ 0 pushes non-integer exponents into complex numbers a plain numeric result can't represent, and base = 1 makes every logarithm undefined (since 1^x is always 1, regardless of x, so there's no way to recover a unique exponent from the result).
Privacy
This calculator runs entirely in your browser. Your numbers are never uploaded, logged, or stored — the computation happens locally on your device.
Use it from code
From 3 credits per callREST API
curl -X POST https://api.iotools.cloud/v1/tool/antilog-calculator \
-H "Authorization: Bearer YOUR_API_KEY" \
-H "Content-Type: application/json" \
-d '{
"base": "10",
"exponent": "2"
}'Swap in your own key from your account. The tool's fields are the body — no wrapper.
Ask an AI agent
Use the IOTools `antilog-calculator` tool (Antilog Calculator) on this input:
YOUR_INPUT_HEREPaste this at any agent connected to the IOTools MCP server, then add your input.