Bilingual edition: English is preserved and Chinese follows each unit. Terminology uses the confirmed v20260916 glossary; automated semantic review remains traceable.
中英双语版:英文原文完整保留,中文紧随对应单元;术语采用 v20260916 确认表,自动语义审校结果可追溯。

Exponentials and Natural Logs

指数与自然对数

Sometimes the quantity which is to be solved for in an equation is in an exponential function

有时,方程中需要求解的量出现在指数函数中

The solution can be found by taking the natural logarithm of both sides of the equation.

该解可以通过对方程两边取自然对数来求得。

so that

以便
Applications of logs
对数的应用
Applications of exponentials
指数函数的应用
Index
索引
 
HyperPhysics*****HyperMath*****Logarithms
HyperPhysics ***** HyperMath ***** 对数
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Applications of Logarithms

对数的应用
Applications of common logarithms include

The sound intensity in decibels:

声音的声强(以分贝为单位):

The relative electric power in dB:

相对电功率(以分贝为单位):

Decibels of ratios in the treatment of masking :

比值的分贝处理:
常用对数的应用包括
Index
索引
 
HyperPhysics*****HyperMath*****Logarithms
HyperPhysics ***** HyperMath ***** 对数
R Nave
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Applications of Exponentials

指数的应用

Applications of exponentials include

指数函数的应用包括

The charging of a capacitor :

电容器的充电:
Index

Exponents
索引指数
 
HyperPhysics*****HyperMath*****Logarithms
HyperPhysics ***** HyperMath ***** 对数
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