Antilog Calculator — Inverse Logarithm
The antilog reverses a logarithm: if log_b(y) = x, then antilog_b(x) = b^x = y. Enter x and the base to get the result instantly.
The number whose logarithm base b equals x
- 1
Base b
10 - 2
Exponent x
2 - 3
Antilogarithm b ^ x
10 ^ 2 = 100Raising the base to the exponent reverses the logarithm.
此計算機如何運作？
antilog_b(x) = b^x — the inverse of the logarithm. Antilog₁₀(x) = 10^x (reverses log base 10), and antiln(x) = e^x (reverses the natural log). Enter the log value x and the base to get the original number. For example antilog₁₀(3) = 1000 because log₁₀(1000) = 3.
公式
How this is calculated
A logarithm answers the question "to what power must the base be raised to get y?" The antilogarithm reverses this: given the exponent x and the base b, it returns b^x — the original number. If log₁₀(100) = 2, then antilog₁₀(2) = 10² = 100. If ln(7.389) ≈ 2, then antiln(2) = e² ≈ 7.389.
The calculator evaluates b^x using the standard power function for any valid base and exponent. It also always reports the two most common antilogs: antilog₁₀(x) = 10^x (the inverse of the common logarithm used in pH, decibels, and Richter scale) and antiln(x) = e^x (the inverse of the natural logarithm, the exponential growth function).
Any positive base except 1 is valid. A base of 1 would make every power equal to 1 (undefined as a logarithmic base); a negative base produces complex numbers for fractional exponents. Very large positive x or bases can produce astronomically large results that exceed floating-point range, in which case the output shows infinity.
常見問題
The antilogarithm of x in base b is b^x — the inverse operation of taking a logarithm. It "undoes" the log: if log_b(y) = x, then the antilog of x is y. The most common antilog is antilog₁₀(x) = 10^x.
antilog₁₀(3) = 10³ = 1000. The common logarithm of 1000 is 3, so the antilog reverses that to give 1000.
The natural antilogarithm (antiln) is simply e^x. Just as ln(x) = log base e of x, antiln(x) = e^x reverses it. This is the exponential function you see in compound growth, population models, and probability distributions.
也稱為
TG we-Calculate Editorial Team. (2026). Antilog Calculator — Inverse Logarithm [Online calculator]. TG we-Calculate. https://we-calculate.com/zh-tw/calculator/antilog-calculator
TG we-Calculate Editorial Team. "Antilog Calculator — Inverse Logarithm." TG we-Calculate. 2026. https://we-calculate.com/zh-tw/calculator/antilog-calculator.
TG we-Calculate Editorial Team, "Antilog Calculator — Inverse Logarithm," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/zh-tw/calculator/antilog-calculator
@misc{wecalculate_antilog_calculator, title = {Antilog Calculator — Inverse Logarithm}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/zh-tw/calculator/antilog-calculator}}, year = {2026}, note = {TG we-Calculate} }
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