common logarithm的音標為[?kɑ?m?n l??g??r??m]，基本翻譯為“對數”，速記技巧為“商數”。

請注意，以上僅為對“common logarithm”的翻譯，具體發音和記憶方法還需查閱相關資料。

Common Logarithm的英文詞源：

Common Logarithm這個詞源于希臘語中的“COMMON”和“LOGARITHMOS”，意為“共同的”和“對數”。它的主要變化形式是“log”或“ln”，前者表示常用對數，后者表示自然對數。

相關單詞：

1. Exponential - 指數函數，與對數函數相對，表示一個數的冪。

2. Slope - 在圖形中，表示直線的斜率，常常在繪制對數圖時使用。

3. Logarithmic - 對數函數的，常常用于描述一個數與另一個數的比例關系。

4. Logarithmic Function - 對數函數的一種，描述的是兩個數的對數之間的關系。

5. Logarithmic Scale - 對數尺度，常常用于繪制對數圖或進行對數分析。

6. Natural Log - 自然對數，是常用對數的基礎。

7. Logarithmic Calculator - 對數計算器，用于計算對數和指數等數學函數。

8. Logarithmically Correct - 表示在特定尺度或范圍內正確計算的術語。

9. Logarithmically Increasing/Decreasing - 表示一個函數隨著輸入的增加或減少而增加或減少的術語。

10. Logarithmically Exponential - 表示一個函數在特定條件下可以轉化為指數函數的術語。

以上這些單詞都與對數函數和其相關應用有關，是數學和科學領域的重要概念。

常用短語：

1. common logarithm base 10

2. log base 10

3. logarithmic function

4. logarithmic curve

5. logarithmic scale

6. logarithmic growth

7. logarithmic rate

例句：

1. The graph shows a logarithmic curve, indicating exponential growth.

2. The logarithmic scale is useful for measuring quantities that increase proportionally.

3. The logarithm of the number of sales is directly related to the profit margin.

4. The rate of technological progress is usually measured in logarithmic terms.

5. The common logarithm of a quantity is the exponent that yields the quantity when multiplied by 10.

6. The base of the common logarithm is 10, which is why we call it natural growth.

7. The logarithmic function is a mathematical tool that helps us understand how things grow and change over time.

英文小作文：

Logarithms and Exponentials: A Connection in Growth and Change

Logarithms and exponentials are two mathematical concepts that are closely related in describing growth and change over time. The common logarithm, for instance, is a mathematical tool that measures the rate of growth or decay of a quantity, while exponentials describe how a quantity changes over time as a result of a constant rate of increase or decrease.

In the world of business, for example, the common logarithm of sales can be used to calculate the profit margin, while exponentials can be used to forecast future trends in sales and profits. Similarly, in technology, the common logarithm of technological progress can be used to measure the rate of innovation, while exponentials can help us understand how technology affects the way we live and work.

Logarithms and exponentials are powerful tools that help us understand how things grow and change over time, and how these changes affect our lives and businesses. Understanding these concepts can help us make better decisions and plan for the future.