This antilog calculator finds the antilogarithm — the inverse of a logarithm. If log_b(x) = y, then the antilog of y is x = by. Enter your number, pick a base (10, e, 2, or custom), and get the antilog instantly.
What Is an Antilog?
The antilog (antilogarithm) undoes a logarithm. A logarithm compresses a huge number into a small exponent; the antilog expands it back. If log₁₀(1000) = 3, then antilog₁₀(3) = 1000. In modern terms the antilog is simply exponentiation: antilog_b(y) = by. This calculator is the dedicated reverse of our Logarithm Calculator in the Math Calculators collection.
Antilog Examples (Verified)
- antilog₁₀(3) = 1,000 — the most common antilog, base 10.
- antilog_e(2) = e² = 7.389 — reversing a natural log.
- antilog₂(10) = 1,024 — reversing log base 2 (ten doublings).
- antilog₁₀(−4) = 0.0001 — negative logs give fractions less than 1.
Where Antilogs Do Real Work
- Chemistry: pH is −log₁₀[H⁺], so finding hydrogen-ion concentration from pH is an antilog: [H⁺] = 10−pH. Our pH Calculator handles this direction natively.
- Sound and earthquakes: converting decibels or Richter values back into intensity ratios.
- Finance and growth: undoing a log-transformed series, or exponentiating continuously-compounded rates (base e).
- Statistics: reversing log-transformed data before reporting results in original units.
Antilog on a Regular Calculator
Most calculators hide the antilog as the second function of the log key: 10ˣ for base 10 and eˣ for natural logs. If your keypad has a ^ or xy key, antilog is just b^y directly — which is what this page computes, with the base fully in your control.
Related Tools
- Logarithm Calculator — the forward direction
- Exponent Calculator — powers generally
- pH Calculator — antilog in chemistry
Frequently Asked Questions
How do I calculate an antilog?
Raise the base to the power of the log value: antilog_b(y) = b^y. In base 10, the antilog of 3 is 10³ = 1,000.
What is the antilog of 1?
In base 10, 10¹ = 10. In natural base, e¹ = 2.718. In any base b, antilog(1) = b itself.
What is the difference between antilog and exponent?
None mathematically — “antilog” is the name for exponentiation when you arrive from a logarithm. b^y is the antilog of y in base b.
Can an antilog be negative?
The result can never be negative (a positive base raised to any real power stays positive), but the input can: negative log values produce fractions between 0 and 1.
How do I find [H+] from pH?
[H⁺] = 10^(−pH) — an antilog in base 10 with a negated input: pH 4 → 10⁻⁴ = 0.0001 mol/L.
Is this antilog calculator free?
Yes — free, instant, no sign-up.