logarithm

/ˈlɒɡərɪðəm/ (bre, ipa) · /ˈlɔːɡərɪðəm/ (ame, ipa) · /ˈlȯ-gə-ˌri-t͟həm ˈlä-/ (ame, mw)

logarithm — 名詞

  • logarithmsingular
  • logarithmsplural

1. a number that tells you what power a base must be raised to in order to make ano

1.名詞C1
釋義

對數

表示底數需乘幾次的數值

a number that tells you what power a base must be raised to in order to make another number.

例句

In class, Roya showed that the logarithm of 100 is 2 in base 10.

課堂上，Roya 說明了 100 在底數 10 下的對數是 2。

pattern: logarithm of X in base 10

On the worksheet, Liam had to find the logarithm of 64 to base 2.

在作業單上，Liam 得找出 64 在底數 2 下的對數。

pattern: logarithm of X to base Y

同義詞
  • log

    an informal short form often used in formulas, textbooks, and computing

  • log value

    a technical phrase for the numerical result rather than the full concept

文法句型

the logarithm of [number]

the logarithm of [number] to base [number]

natural/common logarithm

用法筆記

Usually appears in maths or science contexts with a base named directly or understood from context. Distinguish from an exponent: the exponent is the power written in an expression, while the logarithm is the power you need to reach a chosen number.

常見錯誤

❌The logarithm of 100 to base 10 is 100.
✅The logarithm of 100 to base 10 is 2.
💡the logarithm is the power you need, not the original number.