HesapHanem

Antilog Calculator

Find the antilogarithm.

Result

316.23

How it is calculated

The antilogarithm undoes a logarithm: if log_b(y) = x then y = b^x. Enter the logarithm value x and the base b; the tool returns b^x. Base 10 gives the common antilog and e (2.71828…) the natural one. If the base is left empty or is zero or negative, the tool falls back to 10. Any real x is accepted, including negative numbers and fractions, so 10^-2 = 0.01. Results of 0.01 or more are rounded to two decimals, while smaller ones show enough decimals for three significant digits (10^-7 is 0.000000100); very large ones lose no digits but become unwieldy. A base of exactly 1 always gives 1.

Worked example

Find the number whose base-10 logarithm is 2.5. Calculate 10^2.5 = 10^2 × 10^0.5 = 100 × 3.16228 = 316.23. So the antilog is 316.23. Check: log10(316.23) is about 2.5. With base 2 and the same value, 2^2.5 would be about 5.66.

Try this example →

Common mistakes

  • Leaving the base empty when the log was natural. The default is 10; for natural logs enter 2.718281828.
  • Entering the number itself instead of its logarithm, which raises the base to an enormous power.
  • Reading a small result as rounded away; 10^-3 displays as 0.00100, because results below 0.01 keep three significant digits.
  • Using a negative base, which the tool replaces with 10.

Sources

About this calculator

This calculator finds the antilogarithm — the reverse of taking a log — by raising a chosen base to the power of the value you enter (antilog₁₀(x) = 10^x, for example). It's the inverse operation you need whenever you have a logarithm and want the original number back.

It comes up in chemistry when converting pH back to hydrogen ion concentration, in acoustics when converting decibels back to sound intensity, and in engineering and math coursework whenever a log-based formula needs to be reversed. Base 10 is used when the base is left empty, e (2.71828) gives the natural antilog, and any other positive base also works.

Was this helpful?

You can pick up to 3 reactions.

Comments (1)

  • Editorial team

    A common science use is turning a pH back into a concentration: enter -7 in base 10 and you get 0.000000100, which is 1 × 10^-7 mol/L for pH 7. Small results keep enough decimals for three significant digits. For decibels, enter dB ÷ 10 for a power ratio (30 dB becomes 3 and gives 1000.00) or dB ÷ 20 for a voltage ratio. Which conversion do you usually need the antilog for?

Popular calculators

Loan Calculator

Monthly payment, total interest and full amortization schedule.

Percentage Calculator

Percent change, percent of, and ratio calculations.

Discount Calculator

Calculate final price, savings, and discount amount.

BMI Calculator

Body mass index from height and weight (metric or imperial).

Age Calculator

Compute your exact age in years, months and days from a birth date.

Compound Interest Calculator

Calculate the final amount and interest earned with compounding.

All Calculators