Calculate the antilogarithm for base e, 2, or 10 with customizable decimal precision.
tools.common-logarithm-calculator.formula.title:
x = antilog_b(y) = b^y
10^2
tools.common-logarithm-calculator.chart.antilogarithmDesc
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When you know the logarithm of a number but not the original value, an antilog calculator helps you find the inverse logarithm. This tool performs the reverse process of logarithmic calculation through exponentiation. By entering the log value (y) and the base (b), it outputs the result (x) using the formula x = by. It supports the natural constant e, base 2, and base 10, and allows you to customize the decimal precision of the result.
Q: Can the input value be a negative number?
A: Yes. A negative logarithm corresponds to an antilog decimal value between 0 and 1.
Q: How much do results differ between bases?
A: The base directly determines the order of magnitude. For example, if y=2: base 10 yields 100 (10²), base 2 yields 4 (2²), and base e yields 7.389 (e²). Choosing the wrong base will result in significant deviations.
The input must be a valid number (scientific notation is supported); non-numeric entries will return an error. Extremely large log values (e.g., y > 100) will generate massive results. The decimal setting only affects the display precision; internal calculations always use double-precision floating-point arithmetic.
In electronic engineering, base-2 antilogarithms are commonly used to convert signal strength (restoring dB to a power ratio), where the input value corresponds to the logarithm in 10log₁₀(P1/P2). Example: Inputting 3 (corresponding to a 30dB power ratio) with base 10 yields an antilog result of 10³ = 1000, indicating the power is amplified 1000 times.
