🔟 反对数计算器Antilog Calculator
求以 10、e、2 或任意正数为底的反对数 y = bˣ（即已知对数 x 求原数），给出十进制结果和科学计数法；超过双精度范围的结果也能用科学计数法显示。Find the antilogarithm y = bˣ for base 10, e, 2 or any positive base — the number whose logarithm is x — as a decimal and in scientific notation, even when the result is beyond double-precision range.
使用说明与常见问题How-to & FAQ
「反对数计算器」是什么？What is the Antilog Calculator tool?
求以 10、e、2 或任意正数为底的反对数 y = bˣ（即已知对数 x 求原数），给出十进制结果和科学计数法；超过双精度范围的结果也能用科学计数法显示。Find the antilogarithm y = bˣ for base 10, e, 2 or any positive base — the number whose logarithm is x — as a decimal and in scientific notation, even when the result is beyond double-precision range.
如何使用「反对数计算器」？How do I use the Antilog Calculator tool?
在「反对数计算器」中，填写「底数」、「自定义底数 b」、「对数值 x」等参数，结果会随输入实时计算并显示在下方。In the Antilog Calculator: Fill in "Base", "Custom base b", "Logarithm x"; results are recalculated instantly as you type.
什么是反对数？What is an antilog?
反对数是对数的逆运算：若 log_b(y) = x，则 y = bˣ 就是 x 的反对数。例如 log₁₀(316.23) ≈ 2.5，所以 2.5 的常用反对数约为 316.23；自然对数的反对数就是 eˣ。The antilog undoes a logarithm: if log_b(y) = x then y = bˣ is the antilog of x. For example log₁₀(316.23) ≈ 2.5, so the common antilog of 2.5 is about 316.23; the antilog of a natural log is eˣ.
很大的结果怎么显示？How are very large results shown?
普通浮点数最大约 1.8×10³⁰⁸。本工具用 log₁₀ y 的整数部分和小数部分分别求出指数和尾数，所以像 10⁵⁰⁰ 这样的结果也能以科学计数法给出（尾数保留 7 位有效数字）；数量级达到 10¹⁵ 及以上或很小的结果只显示科学计数法。Ordinary floating-point numbers top out near 1.8×10³⁰⁸. The tool splits log₁₀ y into its integer part (the exponent) and fractional part (the mantissa), so results like 10⁵⁰⁰ still appear in scientific notation, with a 7-significant-digit mantissa; results of order 10¹⁵ or more, or very small ones, are shown only in scientific notation.
默认值是什么？What are the defaults?
默认的底数 10、x = 2.5 只是示例。The default base 10 with x = 2.5 is only an example.
计算精度如何？How precise are the results?
「反对数计算器」使用 JavaScript 双精度浮点数（约 15–16 位有效数字）；极大或极小的数值可能存在精度误差。The Antilog Calculator uses double-precision floating point (about 15–16 significant digits); very large or very small values may lose precision.
「反对数计算器」免费吗？需要注册吗？Is the Antilog Calculator free? Do I need an account?
「反对数计算器」完全免费，无需注册或安装，打开网页即可使用，手机和电脑都能用；输入的内容只在你的浏览器本地处理。The Antilog Calculator is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.