Antilog Calculator
Undoing a Logarithm
Logarithms compress huge numbers, and the antilog travels the reverse path. Enter a Logarithm base and a Number, press Calculate, and the tool raises the base to that power. Chemists recover pH concentrations, engineers decode signal levels, and finance students undo log returns.
The Antilog Formula
The antilog of x with base b is simply b^x. Base 10 computes directly, and other bases convert through the identity logb(x) = ln(x)/ln(b).
A worked case: antilog base 10 of 2.5 means 10^2.5, which equals 316.23. With base 2, the Number 3.5 gives 2^3.5 = 11.31, since 8 x 1.414 = 11.31.
Real data makes the power flip click. A trader who reads a daily log return of 0.08 undoes it with base e: antilog 0.08 is e^0.08 = 1.0833, so a 1000 dollar stake closes the session at 1083.30. A chemist holding a pH of 4.6 sets the Logarithm base to 10 and the Number to -4.6, and Calculate returns 0.0000251, the hydrogen concentration in mol per liter. Sanity checks travel along: antilog base 10 of 3 must give exactly 1000, and base 10 of -2 must give 0.01. One tool, two sciences, and only the base and sign change.
Entering Values Without Errors
Set the base first, because the same Number yields wildly different answers for base 10 versus base e. Ten and e cover nearly every school problem.
Keep exponents as decimals, not fractions, and respect negative signs: a pH of 7.4 means 10^-7.4, and forgetting the minus sign shifts the magnitude by many orders.
Frequently Asked Questions
What does antilog actually mean?
It reverses a logarithm: if logb(y) = x, then the antilog is b^x = y. You undo the log by exponentiation with the stated base.
How do I compute 10^2.5?
Set the base to 10, the Number to 2.5, and press Calculate. The result is 316.23, which sits between 100 and 1000 as expected for an exponent of 2.5.
Which base should I choose?
Pick 10 for common logs and pH work, e for natural logs in science, and 2 for computing contexts. Same Number, different result. Choose the base your problem states.
Is antilog the same as exponentiation?
Essentially yes: the antilog of x in base b equals b raised to the power x. Antilog is simply the traditional name for undoing a logarithm.
Can a base be negative or one?
No. A valid logarithm base must be positive and different from 1, since log base 1 is undefined. Negative bases break the exponential function reliably.