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对数是什么
以 $10$ 为底的对数是如何定义的？
1. Introduction
Introduction
2. The base-
The base-
3. The natural logarithm
The natural logarithm
4. Powers of ten table
What is 10 raised to the power -5, written as a decimal?
5. Log base ten of a million
What is log base 10 of 1,000,000? Give the exact integer.
6. Recovering a value from its log
If log base 10 of y equals 1.375, what is y? Round to two decimal places.
7. Solving a log equation
Solve 3 · 10^t + 11 = 147. What is t, to three decimal places?
8. Domains and ranges of the natural pair
What are the domain and range of E(t) = e^t and N(y) = ln(y), and how do they compose?
9. The number e is the average rate of its own function near one
On small intervals near t = 1, the average rate of change of e^t is approximately e itself.